Hecke, Erich 18871947
Overview
Works:  59 works in 299 publications in 6 languages and 4,040 library holdings 

Genres:  Periodicals Sources History 
Roles:  Author, Editor, Creator, Honoree, Other 
Publication Timeline
.
Most widely held works about
Erich Hecke
 George Polya papers by George Pólya( )
 Erich Hecke, 18871948 by Bruno Schoenberg( Book )
 A Hecke correspondence theorem for modular integrals with rational period functions by Wendell E CulpRessler( Book )
Most widely held works by
Erich Hecke
Hecke's theory of modular forms and Dirichlet series by
Bruce C Berndt(
)
15 editions published between 2007 and 2011 in English and held by 1,245 WorldCat member libraries worldwide
This book is an amplified and uptodate version of the first named author's lectures at the University of Illinois at UrbanaChampaign, based on Hecke's notes. Providing many details omitted from Hecke's notes, it includes various new and important developments in recent years. In particular, several generalizations and analogues of the original Hecke theory are briefly described in this concise volume
15 editions published between 2007 and 2011 in English and held by 1,245 WorldCat member libraries worldwide
This book is an amplified and uptodate version of the first named author's lectures at the University of Illinois at UrbanaChampaign, based on Hecke's notes. Providing many details omitted from Hecke's notes, it includes various new and important developments in recent years. In particular, several generalizations and analogues of the original Hecke theory are briefly described in this concise volume
Lectures on the theory of algebraic numbers by
Erich Hecke(
Book
)
76 editions published between 1923 and 2017 in 4 languages and held by 1,145 WorldCat member libraries worldwide
... If one wants to make progress in mathematics one should study the masters not the pupils. N.H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task." We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g., "torsion free group" for "pure group." One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D.A. Marcus (SpringerVerlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R
76 editions published between 1923 and 2017 in 4 languages and held by 1,145 WorldCat member libraries worldwide
... If one wants to make progress in mathematics one should study the masters not the pupils. N.H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L series and Heeke operators has permanently embedded his name in the fabric of number theory. It is a rare occurrence when a master writes a basic book, and Heeke's Lectures on the Theory of Algebraic Numbers has become a classic. To quote another master, Andre Weil: "To improve upon Heeke, in a treatment along classical lines of the theory of algebraic numbers, would be a futile and impossible task." We have tried to remain as close as possible to the original text in pre serving Heeke's rich, informal style of exposition. In a very few instances we have substituted modern terminology for Heeke's, e. g., "torsion free group" for "pure group." One problem for a student is the lack of exercises in the book. However, given the large number of texts available in algebraic number theory, this is not a serious drawback. In particular we recommend Number Fields by D.A. Marcus (SpringerVerlag) as a particularly rich source. We would like to thank James M. Vaughn Jr. and the Vaughn Foundation Fund for their encouragement and generous support of Jay R. Goldman without which this translation would never have appeared. Minneapolis George U. Brauer July 1981 Jay R
Mathematische Werke by
Erich Hecke(
Book
)
31 editions published between 1959 and 1983 in 4 languages and held by 352 WorldCat member libraries worldwide
31 editions published between 1959 and 1983 in 4 languages and held by 352 WorldCat member libraries worldwide
Lectures on Dirichlet series, modular functions, and quadratic forms by
Erich Hecke(
Book
)
9 editions published between 1938 and 1983 in English and German and held by 133 WorldCat member libraries worldwide
9 editions published between 1938 and 1983 in English and German and held by 133 WorldCat member libraries worldwide
Analysis und Zahlentheorie : Vorlesung Hamburg 1920 by
Erich Hecke(
Book
)
8 editions published in 1987 in German and held by 124 WorldCat member libraries worldwide
8 editions published in 1987 in German and held by 124 WorldCat member libraries worldwide
Lectures by Erich Hecke on Dirichlet series, modular functions and quadratic form : spring term, 1938 by
Erich Hecke(
Book
)
4 editions published in 1938 in English and held by 67 WorldCat member libraries worldwide
4 editions published in 1938 in English and held by 67 WorldCat member libraries worldwide
Die Primzahlen in der Theorie der elliptischen Modulfunktionen by
Erich Hecke(
Book
)
1 edition published in 1935 in German and held by 29 WorldCat member libraries worldwide
1 edition published in 1935 in German and held by 29 WorldCat member libraries worldwide
Zur Theorie der Modulfunktionen von zwei Variabelen und ihrer Anwendung auf die Zahlentheorie by
Erich Hecke(
Book
)
5 editions published in 1910 in German and held by 29 WorldCat member libraries worldwide
5 editions published in 1910 in German and held by 29 WorldCat member libraries worldwide
Analytische Arithmetik der positiven quadratischen Formen by
Erich Hecke(
Book
)
1 edition published in 1940 in German and held by 26 WorldCat member libraries worldwide
1 edition published in 1940 in German and held by 26 WorldCat member libraries worldwide
Analytische Arithmetik de positiven quadratischen Forman by
Erich Hecke(
Book
)
1 edition published in 1940 in German and held by 22 WorldCat member libraries worldwide
1 edition published in 1940 in German and held by 22 WorldCat member libraries worldwide
Die Primzahlen in der Theorie der elliptischen Modulfunktionen by
Erich Hecke(
Book
)
2 editions published in 1935 in German and held by 17 WorldCat member libraries worldwide
2 editions published in 1935 in German and held by 17 WorldCat member libraries worldwide
Analytische Arithmetik der positiven quadratischen Formen by
Erich Hecke(
Book
)
4 editions published in 1940 in German and held by 7 WorldCat member libraries worldwide
4 editions published in 1940 in German and held by 7 WorldCat member libraries worldwide
Über DirichletReihen mit Funktionalgleichung und ihre Nullstellen auf der Mittelgraden by
Erich Hecke(
Book
)
2 editions published in 1937 in German and held by 6 WorldCat member libraries worldwide
2 editions published in 1937 in German and held by 6 WorldCat member libraries worldwide
Geburtsstörungen nach Ventrifixur und Vaginifixur : nach den Geburtsjournalen der Breslauer UniversitätsFrauenklinik in
der Zeit vom 1. April 1894 bis 1. Mai 1912 by
Erich Hecke(
Book
)
2 editions published in 1913 in German and held by 6 WorldCat member libraries worldwide
2 editions published in 1913 in German and held by 6 WorldCat member libraries worldwide
Analytische Arithmetik der positiven quadratischen Formen by
Erich Hecke(
Book
)
1 edition published in 1940 in German and held by 6 WorldCat member libraries worldwide
1 edition published in 1940 in German and held by 6 WorldCat member libraries worldwide
Dai shu shu lun by
Ke Hai(
Book
)
1 edition published in 1980 in Chinese and held by 5 WorldCat member libraries worldwide
1 edition published in 1980 in Chinese and held by 5 WorldCat member libraries worldwide
Algebra und Zahlentheorie by
Max Deuring(
Book
)
5 editions published between 1939 and 1950 in German and held by 5 WorldCat member libraries worldwide
5 editions published between 1939 and 1950 in German and held by 5 WorldCat member libraries worldwide
Eine Verallgemeinerung eines Satzes von E. Hecke by
Manohar Lal Madan(
Book
)
2 editions published in 1960 in German and held by 5 WorldCat member libraries worldwide
2 editions published in 1960 in German and held by 5 WorldCat member libraries worldwide
Dirichlet series, modular functions and quadratic forms by
Erich Hecke(
Book
)
2 editions published in 1938 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1938 in English and held by 4 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Knopp, Marvin Isadore 1933 Other
 Berndt, Bruce C. 1939 Author
 Behnke, Heinrich 18981979 Editor
 Waerden, B. L. van der (Bartel Leendert) 19031996 Editor
 Clebsch, Alfred 18331872 Editor
 Blumenthal, Otto 18761944 Editor
 Mayer, Adolph 18391908 Editor
 Klein, Felix 18491925 Editor
 Hilbert, David 18621943 Editor
 Carathéodory, Constantin 18731950 Editor
Useful Links
Associated Subjects
Algebraic number theory Automorphic functions Beke, Manó, Bernays, Paul, Bieberbach, Ludwig, Bohr, Harald August, Borel, Emile, Brentano, Franz, Carathéodory, Constantin, De Finetti, Bruno Dirichlet series Elliptic functions Exponential functions Forms, Quadratic Forms (Mathematics) Frege, Gottlob, Functions Functions, Zeta Haar, Alfréd, Hadamard, Jacques, Harary, Frank Hardy, G. H.(Godfrey Harold), Hecke, Erich, Hecke operators Hilbert, David, Hurwitz, Adolf, Knuth, Donald Ervin, Landau, Edmund, Lehmer, D. H.(Derrick Henry), Mathematical analysis Mathematicians Mathematics MathematicsResearch MathematicsStudy and teaching Modular functions Montel, Paul, Number theory Ostrowski, A. M.(Alexander Markowich), Pfluger, Albert, Pringsheim, Alfred, Runge, Carl, Schur, Issai, Sierpinski, Waclaw, Sommerfeld, Arnold, Stanford University.Department of Mathematics Stern, Alfred Szász, Otto, Szegő, Gábor, Universities and collegesFaculty Weyl, Hermann,
Covers
Alternative Names
Erich Hecke deutscher Mathematiker
Erich Hecke Duits wiskundige
Erich Hecke Duits wiskundige (18871947)
Erich Hecke German mathematician
Erich Hecke matemàtic alemany
Erich Hecke matematician german
Erich Hecke matemático alemán
Erich Hecke mathématicien allemand
Erich Hecke Saksamaa matemaatik
Erich Hecke tysk matematikar
Erich Hecke tysk matematiker
Gekke, Ê.
Hecke, E.
Hecke, E. 18871947
Hecke, E. (Erich), 18871947
Hecke, Erich
Hecke, Erick 18871947
Хеке, Эрих
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埃里希·赫克
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