Dirichlet Series and Automorphic Forms
| Author | : A. Weil |
| Publisher | : |
| Total Pages | : 180 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9783662179710 |
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Dirichlet Series and Automorphic Forms
| Author | : A. Weil |
| Publisher | : Springer |
| Total Pages | : 170 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540365028 |
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Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms
| Author | : Peter Stiller |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 123 |
| Release | : 1984 |
| Genre | : Mathematics |
| ISBN | : 0821823000 |
Download Special Values of Dirichlet Series, Monodromy, and the Periods of Automorphic Forms Book in PDF, ePub and Kindle
In this paper we explore a relationship that exists between the classical cusp form for subgroups of finite index in [italic]SL2([double-struck capital]Z) and certain differential equations, and we develop a connection between the equation's monodromy representation and the special values in the critical strip of the Dirichlet series associated to the cusp form.
Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory
| Author | : Solomon Friedberg |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 320 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821839632 |
Download Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory Book in PDF, ePub and Kindle
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
Multiple Dirichlet Series, L-functions and Automorphic Forms
| Author | : Daniel Bump |
| Publisher | : Springer |
| Total Pages | : 367 |
| Release | : 2012-07-09 |
| Genre | : Mathematics |
| ISBN | : 0817683348 |
Download Multiple Dirichlet Series, L-functions and Automorphic Forms Book in PDF, ePub and Kindle
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.
Dirichlet Series and Automorphic Forms
| Author | : André Weil |
| Publisher | : |
| Total Pages | : 372 |
| Release | : 1971 |
| Genre | : Algebraic fields |
| ISBN | : 9780387053769 |
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Elementary Dirichlet Series and Modular Forms
| Author | : Goro Shimura |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 151 |
| Release | : 2007-08-06 |
| Genre | : Mathematics |
| ISBN | : 0387724745 |
Download Elementary Dirichlet Series and Modular Forms Book in PDF, ePub and Kindle
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.
Hecke's Theory of Modular Forms and Dirichlet Series
| Author | : Bruce C. Berndt |
| Publisher | : World Scientific |
| Total Pages | : 150 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 9812706356 |
Download Hecke's Theory of Modular Forms and Dirichlet Series Book in PDF, ePub and Kindle
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Lectures on Dirichlet Series, Modular Functions and Quadratic Forms; Spring Term, 1938
| Author | : Erich Hecke |
| Publisher | : |
| Total Pages | : 64 |
| Release | : 1938 |
| Genre | : Dirichlet series |
| ISBN | : |
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Modular Functions and Dirichlet Series in Number Theory
| Author | : Tom M. Apostol |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 218 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461209994 |
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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.
