Eisenstein Series and Applications more books like this

by Wee Teck Gan (Editor), Stephen S Kudla (Editor), Yuri Tschinkel (Editor)

Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas that are not usually interacting with each other, this volume introduces ...

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Elementary Theory of L-Functions and Eisenstein Series more books like this

by Professor Haruzo Hida

The theory of p-adic and classic modular forms, and the study of arithmetic and p-adic L-functions has proved to be a fruitful area of mathematics over the last decade. Professor Hida has given courses on these topics in the USA, Japan, and in France, and in this book provides the reader with an elementary but detailed insight into the theory of L ...

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On the Functional Equations Satisfied by Eisenstein Series more books like this

by Robert P Langlands

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Decomposition Spectrale Et Series D'Eisenstein more books like this

by C Moeglin, J L Waldspurger

A deep problem at the intersection of number and group theory is the decomposition of the space L2 (G((Q)\G(/A)), where G is a reductive group defined over (Q and /A is the ring of adeles of (Q. Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for certain subgroups of G. The present book describes ...

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Posn(r) and Eisenstein Series more books like this

by Jay Jorgenson, Serge Lang

"Posn[registered] and Eisenstein Series" provides an introduction, requiring minimal prerequisites, to the analysis on symmetric spaces of positive definite real matrices as well as quotients of this space by the unimodular group of integral matrices. The approach is presented in very classical terms and includes material on special functions, ...

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Spectral Decomposition of a Covering of Gl(r): The Borel Case more books like this

by Heng Sun

Let $F$ be a number field and ${\bf A}$ the ring of adeles over $F$. Suppose $\overline{G({\bf A})}$ is a metaplectic cover of $G({\bf A})=GL(r,{\bf A})$ which is given by the $n$-th Hilbert symbol on ${\bf A}$. According to Langlands' theory of Eisenstein series, the decomposition of the right regular representation on $L^2\left(G(F)\backslash ...

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Selberg's Zeta-, L-, and Eisensteinseries more books like this

by Ulrich Christian

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Euler Products and Eisenstein Series more books like this

by Goro Shimura

This volume has three chief objectives: the determination of local Euler factors on classical groups in an explicit rational form; Euler products and Eisenstein series on a unitary group of an arbitrary signature; and a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, ...

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Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace Eigenfunctions: Finite Area Surfaces more books like this

by Steven Zelditch

This work is concerned with a pair of dual asymptotics problems on a finite-area hyperbolic surface. The first problem is to determine the distribution of closed geodesics in the unit tangent bundle. The author's results give a quantitative form to Bowen's equidistribution theory: they refine Bowen's theorem much as the prime geodesic theorem on ...

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The Meromorphic Continuation and Functional Equations of Cuspidal Eisenstein Series for Maximal Cuspidal Groups more books like this

by Shek-Tung Wong

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Poles and residues of Eisenstein series for symplectic and unitary groups more books like this

by Paul Feit

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Scattering Operator, Eisenstein Series, Inner Product Formula, and "Maass-Selberg" Relations for Kle more books like this

by Nikolaos Mandouvalos

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Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen more books like this

by Joachim Schwermer

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Stabile Modulformen und Eisensteinreihen more books like this

by Rainer Weissauer

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Decomposition Spectrale Et Series D'Eisenstein more books like this

by J L Waldspurger, Colette Moeglin

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The Theory of Eisenstein Systems more books like this

by M Scott Osborne

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