Multiple Dirichlet Series, L-functions and Automorphic Forms

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Release : 2012-07-09
Genre : Mathematics
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Book Rating : 348/5 ( reviews)

Multiple Dirichlet Series, L-functions and Automorphic Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multiple Dirichlet Series, L-functions and Automorphic Forms write by Daniel Bump. This book was released on 2012-07-09. Multiple Dirichlet Series, L-functions and Automorphic Forms available 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.

Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory

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Release : 2006
Genre : Mathematics
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Book Rating : 632/5 ( reviews)

Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory write by Solomon Friedberg. This book was released on 2006. Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory available 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

Elementary Dirichlet Series and Modular Forms

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Release : 2007-08-06
Genre : Mathematics
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Book Rating : 745/5 ( reviews)

Elementary Dirichlet Series and Modular Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elementary Dirichlet Series and Modular Forms write by Goro Shimura. This book was released on 2007-08-06. Elementary Dirichlet Series and Modular Forms available 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.

Automorphic Forms on GL (3,TR)

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Release : 2006-12-08
Genre : Mathematics
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Book Rating : 553/5 ( reviews)

Automorphic Forms on GL (3,TR) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphic Forms on GL (3,TR) write by D. Bump. This book was released on 2006-12-08. Automorphic Forms on GL (3,TR) available in PDF, EPUB and Kindle.

Automorphic Forms on GL (2)

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Release : 2006-11-15
Genre : Mathematics
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Book Rating : 127/5 ( reviews)

Automorphic Forms on GL (2) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphic Forms on GL (2) write by H. Jacquet. This book was released on 2006-11-15. Automorphic Forms on GL (2) available in PDF, EPUB and Kindle.