Goldfeld, D.
Overview
Works:  33 works in 186 publications in 2 languages and 3,289 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Creator, Other 
Classifications:  QA241, 512.72 
Publication Timeline
.
Most widely held works by
D Goldfeld
Higher mathematics from an elementary point of view by
H Rademacher(
Book
)
15 editions published between 1982 and 1983 in English and held by 495 WorldCat member libraries worldwide
15 editions published between 1982 and 1983 in English and held by 495 WorldCat member libraries worldwide
Multiple Dirichlet series, Lfunctions and automorphic forms by
Daniel Bump(
)
15 editions published in 2012 in English and held by 495 WorldCat member libraries worldwide
Preface  Introduction: Multiple Dirichlet Series  A Crystal Description for Symplectic Multiple Dirichlet Series  Metaplectic Whittaker Functions and Crystals of Type B  Metaplectic Ice  Littelmann patterns and Weyl Group Multiple Dirichlet Series of Type D  Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series  Natural Boundaries and Integral Moments of Lfunctions. A Trace Formula of Special Values of Automorphic Lfunctions  The Adjoint Lfunction of SU(2,1)  Symplectic Ice  On Witten Multiple ZetaFunctions Associated with Semisimple Lie Algebras III  A Pseudo TwinPrime Theorem  Principal Series Representations of Metaplectic Groups over Local Fields  TwoDimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2).
15 editions published in 2012 in English and held by 495 WorldCat member libraries worldwide
Preface  Introduction: Multiple Dirichlet Series  A Crystal Description for Symplectic Multiple Dirichlet Series  Metaplectic Whittaker Functions and Crystals of Type B  Metaplectic Ice  Littelmann patterns and Weyl Group Multiple Dirichlet Series of Type D  Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series  Natural Boundaries and Integral Moments of Lfunctions. A Trace Formula of Special Values of Automorphic Lfunctions  The Adjoint Lfunction of SU(2,1)  Symplectic Ice  On Witten Multiple ZetaFunctions Associated with Semisimple Lie Algebras III  A Pseudo TwinPrime Theorem  Principal Series Representations of Metaplectic Groups over Local Fields  TwoDimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2).
Explicit formulas for regularized products and series by
Jay Jorgenson(
Book
)
19 editions published between 1994 and 2006 in English and German and held by 476 WorldCat member libraries worldwide
The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3manifolds are given as a significant example
19 editions published between 1994 and 2006 in English and German and held by 476 WorldCat member libraries worldwide
The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3manifolds are given as a significant example
Number theory, analysis and geometry : in memory of Serge Lang by
Dorian Goldfeld(
)
19 editions published between 2011 and 2012 in English and held by 425 WorldCat member libraries worldwide
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, ¡and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang's vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas, namely number theory, analysis and geometry, representing Lang's own breadth of interests.¡A special introduction by John Tate includes a brief and engaging account of Serge Lang's life. Contributors to the volume: D. Abramovich A. Agashe D. Bertrand E. Brenner A. Buium G. Chinta A. Constantin J. Dodziuk M. van Frankenhuijsen W. Goldring B.H. Gross P.E. Gunnells P. Ingram J. Jorgenson A. Karlsson N.M. Katz M. Kim H. Kisilevsky D.Y. Kleinbock B. Kolev J. Kramer S. Lang J. Lubin G.A. Margulis J. McGowan P. Michel M.R. Murty V.K. Murty M. Nakamaye C. O'Neil J.A. Parson P. Perry A.M. von Pippich F. Pop D. Ramakrishnan K.A. ¡Ribet D.E. Rohrlich J.H. Silverman A. Sinton W.A. Stein L. Szpiro J. Tate T.J. Tucker M.F. Vignéras P. Vojta M. Waldschmidt
19 editions published between 2011 and 2012 in English and held by 425 WorldCat member libraries worldwide
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, ¡and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry and the theory of negatively curved spaces. Lang's conjectures will keep many mathematicians occupied far into the future. In the spirit of Lang's vast contribution to mathematics, this memorial volume contains articles by prominent mathematicians in a variety of areas, namely number theory, analysis and geometry, representing Lang's own breadth of interests.¡A special introduction by John Tate includes a brief and engaging account of Serge Lang's life. Contributors to the volume: D. Abramovich A. Agashe D. Bertrand E. Brenner A. Buium G. Chinta A. Constantin J. Dodziuk M. van Frankenhuijsen W. Goldring B.H. Gross P.E. Gunnells P. Ingram J. Jorgenson A. Karlsson N.M. Katz M. Kim H. Kisilevsky D.Y. Kleinbock B. Kolev J. Kramer S. Lang J. Lubin G.A. Margulis J. McGowan P. Michel M.R. Murty V.K. Murty M. Nakamaye C. O'Neil J.A. Parson P. Perry A.M. von Pippich F. Pop D. Ramakrishnan K.A. ¡Ribet D.E. Rohrlich J.H. Silverman A. Sinton W.A. Stein L. Szpiro J. Tate T.J. Tucker M.F. Vignéras P. Vojta M. Waldschmidt
Automorphic forms and Lfunctions for the group GL(n, R) by
D Goldfeld(
Book
)
18 editions published between 2006 and 2015 in English and held by 360 WorldCat member libraries worldwide
The author provides an entirely selfcontained introduction to the theory of Lfunctions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. It provides detailed proofs of results in an easy to read format using examples
18 editions published between 2006 and 2015 in English and held by 360 WorldCat member libraries worldwide
The author provides an entirely selfcontained introduction to the theory of Lfunctions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. It provides detailed proofs of results in an easy to read format using examples
Number theory, trace formulas, and discrete groups : symposium in honor of Atle Selberg, Oslo, Norway, July 1421, 1987 by
KARL EGIL AUBERT(
Book
)
14 editions published between 1988 and 2015 in English and held by 347 WorldCat member libraries worldwide
Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, July 1421, 1987 is a collection of papers presented at the 1987 Selberg Symposium, held at the University of Oslo. This symposium contains 30 lectures that cover the significant contribution of Atle Selberg in the field of mathematics. This book is organized into three parts encompassing 29 chapters. The first part presents a brief introduction to the history and developments of the zetafunction. The second part contains lectures on Selberg's considerable research studies on understandi
14 editions published between 1988 and 2015 in English and held by 347 WorldCat member libraries worldwide
Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg Oslo, Norway, July 1421, 1987 is a collection of papers presented at the 1987 Selberg Symposium, held at the University of Oslo. This symposium contains 30 lectures that cover the significant contribution of Atle Selberg in the field of mathematics. This book is organized into three parts encompassing 29 chapters. The first part presents a brief introduction to the history and developments of the zetafunction. The second part contains lectures on Selberg's considerable research studies on understandi
Automorphic representations and Lfunctions for the general linear group by
D Goldfeld(
Book
)
13 editions published in 2011 in English and held by 200 WorldCat member libraries worldwide
This modern, graduatelevel textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises
13 editions published in 2011 in English and held by 200 WorldCat member libraries worldwide
This modern, graduatelevel textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises
Automorphic representations and Lfunctions for the general linear group by
D Goldfeld(
)
11 editions published in 2011 in English and held by 111 WorldCat member libraries worldwide
This graduatelevel textbook provides an elementary exposition of the theory of automorphic representations and Lfunctions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated Lfunctions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research
11 editions published in 2011 in English and held by 111 WorldCat member libraries worldwide
This graduatelevel textbook provides an elementary exposition of the theory of automorphic representations and Lfunctions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated Lfunctions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research
Collected works of Hervé Jacquet by
Hervé Jacquet(
Book
)
4 editions published in 2011 in English and held by 92 WorldCat member libraries worldwide
4 editions published in 2011 in English and held by 92 WorldCat member libraries worldwide
Calculus : a computer algebra approach by
Iris Anshel(
Book
)
13 editions published between 1994 and 2011 in English and Undetermined and held by 54 WorldCat member libraries worldwide
13 editions published between 1994 and 2011 in English and Undetermined and held by 54 WorldCat member libraries worldwide
Automorphic representations and Lfunctions for the general linear group by
D Goldfeld(
)
3 editions published in 2011 in English and held by 49 WorldCat member libraries worldwide
This graduatelevel textbook provides an elementary exposition of the theory of automorphic representations and Lfunctions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated Lfunctions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research
3 editions published in 2011 in English and held by 49 WorldCat member libraries worldwide
This graduatelevel textbook provides an elementary exposition of the theory of automorphic representations and Lfunctions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated Lfunctions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research
Automorphic representations and Lfunctions for the general linear group by
D Goldfeld(
)
8 editions published in 2011 in English and held by 47 WorldCat member libraries worldwide
8 editions published in 2011 in English and held by 47 WorldCat member libraries worldwide
Multiple Dirichlet series, automorphic forms, and analytic number theory : proceedings of the Bretton Woods Workshop on Multiple
Dirichlet Series, Bretton Woods, New Hampshire, July 1114, 2005 by
Bretton Woods Workshop on Multiple Dirichlet Series(
)
2 editions published in 2006 in English and held by 40 WorldCat member libraries worldwide
2 editions published in 2006 in English and held by 40 WorldCat member libraries worldwide
Automorphic representations and Lfunctions for the general linear group by
Dorian Goldfeld(
)
3 editions published in 2011 in English and held by 31 WorldCat member libraries worldwide
This modern, graduatelevel textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises
3 editions published in 2011 in English and held by 31 WorldCat member libraries worldwide
This modern, graduatelevel textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises
Automorphic representations and Lfunctions for the general linear group : Volume I by
D Goldfeld(
)
2 editions published in 2011 in English and held by 23 WorldCat member libraries worldwide
2 editions published in 2011 in English and held by 23 WorldCat member libraries worldwide
Calculus : a computer algebra approach : solutions manual by
Iris Anshel(
Book
)
4 editions published between 1994 and 1996 in English and held by 12 WorldCat member libraries worldwide
4 editions published between 1994 and 1996 in English and held by 12 WorldCat member libraries worldwide
Collected works of Hervé Jacquet by
Hervé Jacquet(
Book
)
2 editions published in 2011 in English and held by 10 WorldCat member libraries worldwide
2 editions published in 2011 in English and held by 10 WorldCat member libraries worldwide
EXPLICIT FORMULAS FOR REGULARIZED PRODUCTS AND SERIES ; A SPECTRAL INTERPRETATION OF WEIL'S EXPLICIT FORMULA by
Jay Jorgenson(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
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Related Identities
 Lang, Serge 19272005 Other Creator
 Friedberg, Solomon 1958 Author Editor
 Bump, Daniel 1952 Author Editor
 Jorgenson, Jay Other Author Editor Creator
 Rademacher, Hans 18921969 Author
 Hundley, Joseph
 Bombieri, Enrico 1940 Editor
 Aubert, Karl Egil Author Editor
 Selberg, Atle Honoree
 Jacquet, Hervé 1939 Author
Useful Links
Associated Subjects
AlgebraData processing Automorphic forms CalculusData processing Combinatorial analysis Dirichlet series Discrete groups Functions, Special Functions, Zeta Geometry Global analysis (Mathematics) Global differential geometry Group theory Lang, Serge, Lfunctions Mathematical analysis Mathematics Number theory Representations of groups Selberg, Atle Selberg trace formula Sequences (Mathematics) Spectral theory (Mathematics) Topological groups
Covers
Alternative Names
Dorian Goldfeld
Dorian Goldfeld USamerikanischer Mathematiker
Dorian M. Goldfeld Amerikaans wiskundige
Dorian M. Goldfeld amerikansk matematikar
Dorian M. Goldfeld amerikansk matematiker
Dorian M. Goldfeld matemático estadounidense
Dorian M. Goldfeld matematico statunitense
Dorian M. Goldfeld mathématicien américain
Goldfeld, D.
Goldfeld, D. 1947
Goldfeld, Dorian
Goldfeld, Dorian M. 1947
ドリアン・ゴールドフェルド
多利安·哥德费尔德
Languages