Dirichlet Series and Automorphic Forms PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Dirichlet Series and Automorphic Forms PDF full book. Access full book title Dirichlet Series and Automorphic Forms by A. Weil. Download full books in PDF and EPUB format.
Author: A. Weil
Publisher: Springer
ISBN: 3540365028
Category : Mathematics
Languages : en
Pages : 170
Get Book Here
Book Description
Author: A. Weil
Publisher: Springer
ISBN: 3540365028
Category : Mathematics
Languages : en
Pages : 170
Get Book Here
Book Description
Author: Goro Shimura
Publisher: Springer Science & Business Media
ISBN: 0387724745
Category : Mathematics
Languages : en
Pages : 151
Get Book Here
Book Description
A book on any mathematical subject beyond the textbook level is of little value unless it contains new ideas and new perspectives. It helps to include new results, provided that they give the reader new insights and are presented along with known old results in a clear exposition. It is with this philosophy that the author writes this volume. The two subjects, Dirichlet series and modular forms, are traditional subjects, but here they are treated in both orthodox and unorthodox ways. Regardless of the unorthodox treatment, the author has made the book accessible to those who are not familiar with such topics by including plenty of expository material.
Author: Tom M. Apostol
Publisher: Springer Science & Business Media
ISBN: 1461209994
Category : Mathematics
Languages : en
Pages : 218
Get Book Here
Book Description
A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.
Author: Daniel Bump
Publisher: Springer
ISBN: 0817683348
Category : Mathematics
Languages : en
Pages : 367
Get Book Here
Book Description
Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics. As such, it represents a new way in which areas including number theory, combinatorics, statistical mechanics, and quantum groups are seen to fit together. The volume also includes papers on automorphic forms and L-functions and related number-theoretic topics. This volume will be a valuable resource for graduate students and researchers in number theory, combinatorics, representation theory, mathematical physics, and special functions. Contributors: J. Beineke, B. Brubaker, D. Bump, G. Chinta, G. Cornelissen, C.A. Diaconu, S. Frechette, S. Friedberg, P. Garrett, D. Goldfeld, P.E. Gunnells, B. Heim, J. Hundley, D. Ivanov, Y. Komori, A.V. Kontorovich, O. Lorscheid, K. Matsumoto, P.J. McNamara, S.J. Patterson, M. Suzuki, H. Tsumura.
Author: Solomon Friedberg
Publisher: American Mathematical Soc.
ISBN: 0821839632
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
Book Description
Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of $L$-functions as well as the conjectures (such as those predicted by random matrix theory) can now be obtained via the theory of multiple Dirichlet series. Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on new examples of multiple Dirichlet
Author: A. Weil
Publisher:
ISBN: 9783662179710
Category :
Languages : en
Pages : 180
Get Book Here
Book Description
Author: H. Jacquet
Publisher: Springer
ISBN: 3540376127
Category : Mathematics
Languages : en
Pages : 156
Get Book Here
Book Description
Author: Anatoli Andrianov
Publisher: Springer Science & Business Media
ISBN: 0387787534
Category : Mathematics
Languages : en
Pages : 188
Get Book Here
Book Description
Several years ago I was invited to an American university to give one-term graduate course on Siegel modular forms, Hecke operators, and related zeta functions. The idea to present in a concise but basically complete and self-contained form an int- duction to an important and developing area based partly on my own work attracted me. I accepted the invitation and started to prepare the course. Unfortunately, the visit was not realized. But the idea of such a course continued to be alive till after a number of years this book was ?nally completed. I hope that this short book will serve to attract young researchers to this beautiful ?eld, and that it will simplify and make more pleasant the initial steps. No special knowledge is presupposed for reading this book beyond standard courses in algebra and calculus (one and several variables), although some skill in working with mathematical texts would be helpful. The reader will judge whether the result was worth the effort. Dedications. The ideas of Goro Shimura exerted a deep in?uence on the number theory of the second half of the twentieth century in general and on the author’s formation in particular. When Andre ` Weil was signing a copy of his “Basic Number Theory” to my son, he wrote in Russian, ”To Fedor Anatolievich hoping that he will become a number theoretist”. Fedor has chosen computer science. Now I pass on the idea to Fedor’s daughter, Alexandra Fedorovna.
Author: Bruce C. Berndt
Publisher: World Scientific
ISBN: 9812792376
Category : Mathematics
Languages : en
Pages : 150
Get Book Here
Book Description
1. Introduction -- 2. The main correspondence theorem -- 3. A fundamental region -- 4. The case [symbol]> 2 -- 5. The case [symbol]
Author: Gorō Shimura
Publisher: Princeton University Press
ISBN: 9780691080925
Category : Mathematics
Languages : en
Pages : 292
Get Book Here
Book Description
The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number-theoretical aspects. After two chapters geared toward elementary levels, there follows a detailed treatment of the theory of Hecke operators, which associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed. The main question is the construction of abelian extensions of certain algebraic number fields, which is traditionally called "Hilbert's twelfth problem." Another advanced topic is the determination of the zeta function of an algebraic curve uniformized by modular functions, which supplies an indispensable background for the recent proof of Fermat's last theorem by Wiles.
