Roquette, Peter 1927
Overview
Works:  70 works in 252 publications in 4 languages and 3,277 library holdings 

Genres:  History Records and correspondence Sources 
Roles:  Author, Editor, Other, Adapter, Creator 
Classifications:  QA247, 512.74 
Publication Timeline
.
Most widely held works by
Peter Roquette
The BrauerHasseNoether theorem in historical perspective by
Peter Roquette(
)
18 editions published between 2004 and 2006 in English and held by 833 WorldCat member libraries worldwide
"The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal mathematical interest, searching through this treasure can help us to assess the development of Number Theory through the 1920s and 1930s." "The present volume is largely based on the letters and other documents its author has found concerning the BrauerHasseNoether Theorem in the theory of algebras; this covers the years around 1931. In addition to the documents from the literary estates of Hasse and Brauer in Gottingen, the author also makes use of some letters from Emmy Noether to Richard Brauer that are preserved at the Bryn Mawr College Library (Pennsylvania, USA)."BOOK JACKET
18 editions published between 2004 and 2006 in English and held by 833 WorldCat member libraries worldwide
"The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal mathematical interest, searching through this treasure can help us to assess the development of Number Theory through the 1920s and 1930s." "The present volume is largely based on the letters and other documents its author has found concerning the BrauerHasseNoether Theorem in the theory of algebras; this covers the years around 1931. In addition to the documents from the literary estates of Hasse and Brauer in Gottingen, the author also makes use of some letters from Emmy Noether to Richard Brauer that are preserved at the Bryn Mawr College Library (Pennsylvania, USA)."BOOK JACKET
Formally padic fields by
A Prestel(
Book
)
17 editions published in 1984 in English and German and held by 534 WorldCat member libraries worldwide
17 editions published in 1984 in English and German and held by 534 WorldCat member libraries worldwide
Emil Artin and Helmut Hasse : the correspondence 19231958 by
Emil Artin(
)
14 editions published between 2008 and 2014 in English and held by 386 WorldCat member libraries worldwide
This volume presents English translations of the letters exchanged between Emil Artin and Helmut Hasse written from 1921 to 1958. The letters are accompanied by extensive comments explaining the mathematical background and providing other essential context. Most letters deal with class field theory and shed new light on the birth of one of its most profound results: Artin’s reciprocity law
14 editions published between 2008 and 2014 in English and held by 386 WorldCat member libraries worldwide
This volume presents English translations of the letters exchanged between Emil Artin and Helmut Hasse written from 1921 to 1958. The letters are accompanied by extensive comments explaining the mathematical background and providing other essential context. Most letters deal with class field theory and shed new light on the birth of one of its most profound results: Artin’s reciprocity law
Analytic theory of elliptic functions over local fields by
Peter Roquette(
Book
)
15 editions published in 1970 in 3 languages and held by 205 WorldCat member libraries worldwide
15 editions published in 1970 in 3 languages and held by 205 WorldCat member libraries worldwide
Helmut Hasse und Emmy Noether die Korrespondenz 19251935 by
Helmut Hasse(
)
16 editions published in 2006 in German and English and held by 188 WorldCat member libraries worldwide
This book reproduces the complete extant correspondence between Emmy Noether and Helmut Hasse. There are 82 such letters, of which 79 are from Noether to Hasse, dating from 1925 until Noethers sudden death in 1935. The correspondence refl ects a crucial period in the development of 20th century algebra and number theory, in particular class fi eld theory. Details of proofs appear alongside with conjectures and speculations. Also discussed are questions of textbook presentation, e.g., of Galois theory. Aside from mathematical details, the spontaneity of Noethers style allows many glimpses at the image that Emmy Noether and Helmut Hasse had of the topics they were working in. The Hasse Noether correspondence is a rich source for those who are interested in the rise and the development of mathematical notions and ideas. Each letter is accompanied by a detailed commentary supplied by the editors. For the convenience of the reader, numerous crossreferences, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
16 editions published in 2006 in German and English and held by 188 WorldCat member libraries worldwide
This book reproduces the complete extant correspondence between Emmy Noether and Helmut Hasse. There are 82 such letters, of which 79 are from Noether to Hasse, dating from 1925 until Noethers sudden death in 1935. The correspondence refl ects a crucial period in the development of 20th century algebra and number theory, in particular class fi eld theory. Details of proofs appear alongside with conjectures and speculations. Also discussed are questions of textbook presentation, e.g., of Galois theory. Aside from mathematical details, the spontaneity of Noethers style allows many glimpses at the image that Emmy Noether and Helmut Hasse had of the topics they were working in. The Hasse Noether correspondence is a rich source for those who are interested in the rise and the development of mathematical notions and ideas. Each letter is accompanied by a detailed commentary supplied by the editors. For the convenience of the reader, numerous crossreferences, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
Emil Artin und Helmut Hasse : die Korrespondenz 19231934 by
Emil Artin(
)
16 editions published in 2008 in German and English and held by 143 WorldCat member libraries worldwide
This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 19231934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's Lseries and his reciprocity law towards Hasse's norm symbol, local class field theory and the LocalGlobal Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a followup of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung
16 editions published in 2008 in German and English and held by 143 WorldCat member libraries worldwide
This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 19231934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's Lseries and his reciprocity law towards Hasse's norm symbol, local class field theory and the LocalGlobal Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a followup of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung
Algebraische Zahlentheorie; Bericht einer Tagung des Mathematischen Forschungsinstituts Oberwolfach 6.12. September 1964 by
Mathematisches Forschungsinstitut Oberwolfach(
Book
)
10 editions published in 1966 in German and Undetermined and held by 122 WorldCat member libraries worldwide
10 editions published in 1966 in German and Undetermined and held by 122 WorldCat member libraries worldwide
Die mathematischen Tagebücher von Helmut Hasse 19231935 by
Franz Lemmermeyer(
)
6 editions published in 2012 in German and No Linguistic content and held by 121 WorldCat member libraries worldwide
This book contains the full text of the mathematical notebooks of Helmut Hasse (18981979), who was one of the leading mathematicians of the 20th century. The originals have been preserved in the Handschriftenabteilung at the Göttingen University Library. There are a total of seven volumes which contain 98 entries all together; these span the time period from July 1923 to February 1935. Each of the entries is preceded by a short comment. An extensive bibliography is provided. Compared to the other documents and papers from Hasse Nachlass at Göttingen, these papers are quite different. They detail Hasse's mathematical background, interests and his way of approaching problems. Many of the entries are inspired by Hasse's discussions with other mathematicians (for example, Emil Artin is often mentioned). One of the notable highlights in the entries is the first documentation of Artin's conjecture on primitive roots (1927), which Hasse noted down after a discussion with Artin. Another example is the first proof of the Riemann hypothesis for an extended class of function fi elds of high genus, namely those of the generalised Fermat fields with a finite field of constants (1932), after corresponding with Harold Davenport. This book contains the full text of the mathematical notebooks of Helmut Hasse (18981979), who was one of the leading mathematicians of the 20th century. The originals have been preserved in the Handschriftenabteilung at the Göttingen University Library. There are a total of seven volumes which contain 98 entries all together; these span the time period from July 1923 to February 1935. Each of the entries is preceded by a short comment. An extensive bibliography is provided. Compared to the other documents and papers from Hasse Nachlass at Göttingen, these papers are quite different. They detail Hasse's mathematical background, interests and his way of approaching problems. Many of the entries are inspired by Hasse's discussions with other mathematicians (for example, Emil Artin is often mentioned). One of the notable highlights in the entries is the first documentation of Artin's conjecture on primitive roots (1927), which Hasse noted down after a discussion with Artin. Another example is the first proof of the Riemann hypothesis for an extended class of function fi elds of high genus, namely those of the generalised Fermat fields with a finite field of constants (1932), after cor
6 editions published in 2012 in German and No Linguistic content and held by 121 WorldCat member libraries worldwide
This book contains the full text of the mathematical notebooks of Helmut Hasse (18981979), who was one of the leading mathematicians of the 20th century. The originals have been preserved in the Handschriftenabteilung at the Göttingen University Library. There are a total of seven volumes which contain 98 entries all together; these span the time period from July 1923 to February 1935. Each of the entries is preceded by a short comment. An extensive bibliography is provided. Compared to the other documents and papers from Hasse Nachlass at Göttingen, these papers are quite different. They detail Hasse's mathematical background, interests and his way of approaching problems. Many of the entries are inspired by Hasse's discussions with other mathematicians (for example, Emil Artin is often mentioned). One of the notable highlights in the entries is the first documentation of Artin's conjecture on primitive roots (1927), which Hasse noted down after a discussion with Artin. Another example is the first proof of the Riemann hypothesis for an extended class of function fi elds of high genus, namely those of the generalised Fermat fields with a finite field of constants (1932), after corresponding with Harold Davenport. This book contains the full text of the mathematical notebooks of Helmut Hasse (18981979), who was one of the leading mathematicians of the 20th century. The originals have been preserved in the Handschriftenabteilung at the Göttingen University Library. There are a total of seven volumes which contain 98 entries all together; these span the time period from July 1923 to February 1935. Each of the entries is preceded by a short comment. An extensive bibliography is provided. Compared to the other documents and papers from Hasse Nachlass at Göttingen, these papers are quite different. They detail Hasse's mathematical background, interests and his way of approaching problems. Many of the entries are inspired by Hasse's discussions with other mathematicians (for example, Emil Artin is often mentioned). One of the notable highlights in the entries is the first documentation of Artin's conjecture on primitive roots (1927), which Hasse noted down after a discussion with Artin. Another example is the first proof of the Riemann hypothesis for an extended class of function fi elds of high genus, namely those of the generalised Fermat fields with a finite field of constants (1932), after cor
Analysis und Zahlentheorie : Vorlesung Hamburg 1920 by
Erich Hecke(
Book
)
9 editions published in 1987 in German and held by 115 WorldCat member libraries worldwide
9 editions published in 1987 in German and held by 115 WorldCat member libraries worldwide
Collected papers of Peter Roquette by
Peter Roquette(
Book
)
6 editions published in 2002 in English and Multiple languages and held by 103 WorldCat member libraries worldwide
6 editions published in 2002 in English and Multiple languages and held by 103 WorldCat member libraries worldwide
Contributions to the history of number theory in the 20th century by
Peter Roquette(
Book
)
12 editions published in 2013 in English and held by 100 WorldCat member libraries worldwide
The 20th century was a time of great upheaval and great progress, mathematics not excluded. In order to get the overall picture of trends, developments and results it is illuminating to look at their manifestations locally, in the personal life and work of people living at the time. The university archives of Göttingen harbor a wealth of papers, letters and manuscripts from several generations of mathematicians  documents which tell us the story of the historic developments from a local point of view. The present book offers a number of essays based on documents from Göttingen and elsewhere  essays which are not yet contained in the author's Collected Works. These little pieces, independent from each other, are meant as contributions to the imposing mosaic of history of number theory. They are written for mathematicians but with no special background requirements. Involved are the names of Abraham Adrian Albert, Cahit Arf, Emil Artin, Richard Brauer, Otto Grün, Helmut Hasse, Klaus Hoechsmann, Robert Langlands, HeinrichWolfgang Leopoldt, Emmy Noether, Abraham Robinson, Ernst Steinitz, Hermann Weyl and others
12 editions published in 2013 in English and held by 100 WorldCat member libraries worldwide
The 20th century was a time of great upheaval and great progress, mathematics not excluded. In order to get the overall picture of trends, developments and results it is illuminating to look at their manifestations locally, in the personal life and work of people living at the time. The university archives of Göttingen harbor a wealth of papers, letters and manuscripts from several generations of mathematicians  documents which tell us the story of the historic developments from a local point of view. The present book offers a number of essays based on documents from Göttingen and elsewhere  essays which are not yet contained in the author's Collected Works. These little pieces, independent from each other, are meant as contributions to the imposing mosaic of history of number theory. They are written for mathematicians but with no special background requirements. Involved are the names of Abraham Adrian Albert, Cahit Arf, Emil Artin, Richard Brauer, Otto Grün, Helmut Hasse, Klaus Hoechsmann, Robert Langlands, HeinrichWolfgang Leopoldt, Emmy Noether, Abraham Robinson, Ernst Steinitz, Hermann Weyl and others
Der Briefwechsel Hasse  Scholz  Taussky by
Helmut Hasse(
)
5 editions published in 2016 in German and held by 89 WorldCat member libraries worldwide
Arnold Scholz (19061941) war einer der vielversprechendsten jungen Zahlentheoretiker in den 1930er Jahren, einer der besten Kenner der Klassenkörpertheorie. Als Doktorand von Issai Schur war er auch mit gruppentheoretischen Methoden vertraut. Da er während des Dritten Reichs als politisch nicht zuverlässig galt (er war ein enger Freund des ebenfalls "suspekten" Ernst Zermelo), konnte er keine sichere Stelle finden. Trotzdem gelang es ihm, eine Reihe wichtiger Resultate zu erhalten, u.a. bei der Realisierung von Galoisgruppen und in der Theorie der Normenreste. Der zu einem klaren Verständnis dieser Ergebnisse notwendige kohomologische Apparat war damals noch nicht entwickelt, und daher konnten zunächst nur Wenige mit den Scholzschen Ideen etwas anfangen. Eine Reihe seiner Resultate wurden später wiederentdeckt. Schafarewitsch konnte mit Hilfe der Scholzschen Methoden zeigen, dass jede endliche auflösbare Gruppe als Galoisgruppe einer Erweiterung der rationalen Zahlen vorkommt. Das vorliegende Buch, das als erster Schritt zu einem besseren Verständnis des Werks von Arnold Scholz anzusehen ist, enthält die Korrespondenz zwischen Arnold Scholz und Helmut Hasse einerseits und Olga Taussky andererseits, soweit sie in den Archiven der Universität Göttingen und des California Institute of Technology in Pasadena erhalten sind. Auch die Korrespondenz zwischen Hasse und Taussky bis zum frühen Tod von Arnold Scholz wurde aufgenommen
5 editions published in 2016 in German and held by 89 WorldCat member libraries worldwide
Arnold Scholz (19061941) war einer der vielversprechendsten jungen Zahlentheoretiker in den 1930er Jahren, einer der besten Kenner der Klassenkörpertheorie. Als Doktorand von Issai Schur war er auch mit gruppentheoretischen Methoden vertraut. Da er während des Dritten Reichs als politisch nicht zuverlässig galt (er war ein enger Freund des ebenfalls "suspekten" Ernst Zermelo), konnte er keine sichere Stelle finden. Trotzdem gelang es ihm, eine Reihe wichtiger Resultate zu erhalten, u.a. bei der Realisierung von Galoisgruppen und in der Theorie der Normenreste. Der zu einem klaren Verständnis dieser Ergebnisse notwendige kohomologische Apparat war damals noch nicht entwickelt, und daher konnten zunächst nur Wenige mit den Scholzschen Ideen etwas anfangen. Eine Reihe seiner Resultate wurden später wiederentdeckt. Schafarewitsch konnte mit Hilfe der Scholzschen Methoden zeigen, dass jede endliche auflösbare Gruppe als Galoisgruppe einer Erweiterung der rationalen Zahlen vorkommt. Das vorliegende Buch, das als erster Schritt zu einem besseren Verständnis des Werks von Arnold Scholz anzusehen ist, enthält die Korrespondenz zwischen Arnold Scholz und Helmut Hasse einerseits und Olga Taussky andererseits, soweit sie in den Archiven der Universität Göttingen und des California Institute of Technology in Pasadena erhalten sind. Auch die Korrespondenz zwischen Hasse und Taussky bis zum frühen Tod von Arnold Scholz wurde aufgenommen
Mathematische Abhandlungen by
Helmut Hasse(
)
7 editions published between 1975 and 2011 in German and held by 39 WorldCat member libraries worldwide
7 editions published between 1975 and 2011 in German and held by 39 WorldCat member libraries worldwide
Mathematische Abhandlungen by
Helmut Hasse(
)
6 editions published between 1975 and 2011 in German and held by 39 WorldCat member libraries worldwide
6 editions published between 1975 and 2011 in German and held by 39 WorldCat member libraries worldwide
Mathematische Abhandlungen by
Helmut Hasse(
)
6 editions published between 1975 and 2011 in German and held by 37 WorldCat member libraries worldwide
6 editions published between 1975 and 2011 in German and held by 37 WorldCat member libraries worldwide
Helmut Hasse und Emmy Noether ; die Korrespondenz 1925  1935 by
Helmut Hasse(
)
1 edition published in 2006 in German and held by 28 WorldCat member libraries worldwide
1 edition published in 2006 in German and held by 28 WorldCat member libraries worldwide
Emil Artin und Helmut Hasse by
Peter Roquette(
)
1 edition published in 2008 in German and held by 24 WorldCat member libraries worldwide
1 edition published in 2008 in German and held by 24 WorldCat member libraries worldwide
Lectures on formally padic fields by
A Prestel(
Book
)
5 editions published in 1983 in English and held by 22 WorldCat member libraries worldwide
5 editions published in 1983 in English and held by 22 WorldCat member libraries worldwide
Formally pacid fields by
A Prestel(
Book
)
2 editions published in 1984 in Undetermined and English and held by 19 WorldCat member libraries worldwide
2 editions published in 1984 in Undetermined and English and held by 19 WorldCat member libraries worldwide
Emil Artin und Helmut Hasse die Korrespondenz 19231934 = Emil Artin and Helmut Hasse ; their correspondence 1923 1934(
)
1 edition published in 2008 in German and held by 16 WorldCat member libraries worldwide
This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 19231934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's Lseries and his reciprocity law towards Hasseś norm symbol, local class field theory and the LocalGlobal Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a followup of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung
1 edition published in 2008 in German and held by 16 WorldCat member libraries worldwide
This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 19231934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's Lseries and his reciprocity law towards Hasseś norm symbol, local class field theory and the LocalGlobal Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a followup of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung
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Related Identities
 Hasse, Helmut 18981979 Other Honoree Author Editor
 Noether, Emmy 18821935 Other Honoree
 Lemmermeyer, Franz 1962 Other Creator Translator Editor Author
 Brauer, Richard 19011977
 Prestel, A. (Alexander) 1941 Author
 Frei, Günther Other Author Editor Creator
 Artin, Emil 18981962 Author
 Leopoldt, Heinrich Wolfgang Editor
 Geramita, A. V.
 Hecke, Erich 18871947 Author
Useful Links
Associated Subjects
Algebra Algebraic fields Algebraic functions Algebraic number theory Artin, Emil, Austria Brauer, Richard, Brauer groups Class field theory Elliptic functions Engineering Exponential functions Functions Functions, Zeta Germany Global analysis (Mathematics) Hasse, Helmut, History Local fields (Algebra) Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics Noether, Emmy, Number theory padic fields Philosophy Social sciencesPhilosophy Taussky, Olga Valued fields
Covers
Alternative Names
Peter Roquette deutscher Mathematiker
Peter Roquette Duits wiskundige
Peter Roquette German mathematician and historian of mathematics
Peter Roquette matematico tedesco
Peter Roquette mathématicien allemand
Peter Roquette německý matematik
Roquette, P. 1927
Roquette, Peter J. 1927
Roquette, Peter Jacques.
Roquette, Peter Jaques 1927
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