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Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms

This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object;

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Modular Forms and Special Cycles on Shimura Curves. (AM-161)

functions are shown to be the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule;

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Non-Archimedean Linear Operators & Applications

-Archimedean Banach and Hilbert spaces. This includes, non-archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions;

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Non-Archimedean Linear Operators & Applications

-Archimedean Banach and Hilbert spaces. This includes, non-Archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions;

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Elements of the Representation Theory of the Jacobi Group

text gathers for the first time material from the representation theory of this group in both local (archimedean and non-archimedean) cases and;

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Cambridge Studies in Advanced Mathematics

From their inception, Siegel modular forms have been studied extensively because of their significance in both automorphic functions;

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Cambridge Studies in Advanced Mathematics

From their inception, Siegel modular forms have been studied extensively because of their significance in both automorphic functions;

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Siegel Modular Forms: A Classical and Representation-Theoretic Approach

of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises;

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Modular Forms on Schiermonnikoog

Netherlands. A broad range of topics is covered including Hilbert and Siegel modular forms, Weil representations, Tannakian categories and Torelli's;

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Harmonic Maass Forms and Mock Modular Forms

Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10-15 years, this theory has been extended;

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Quasi-Invariant & Pseduo-Differentiable Measures in Banach Spaces

and super-gravity (VV89, VVZ94, ADV88, Cas02, DD00, Ish84, Khr90, Lud99t, Lud03b, Mil84, Jan 98). Recently non-Archimedean analysis was found;

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Modular Forms

-integral weight, Hilbert, Jacobi, Maass, and Siegel modular forms. Some gems of the book are an immediately implementable trace formula for;

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Automorphic Forms And Zeta Functions - Proceedings Of The Conference In Memory Of Tsuneo Arakawa

of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works;

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Automorphic Forms and Even Unimodular Lattices

very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences;

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The 1-2-3 of Modular Forms

Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture. Each part;

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A Window into Zeta and Modular Physics

), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms;

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Window Into Zeta And Modular Physics

), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms;

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Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory

This book includes review articles in the field of elliptic integrals, elliptic functions and modular forms intending to foster the;

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Elliptic Curves. (MN-40), Volume 40

analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular;

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Abelian Varieties with Complex Multiplication and Modular Functions

laws in terms of abelian varieties, theta functions, and modular functions of several variables, including Siegel modular functions. This;

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Advances in Ultrametric Analysis

-unital Banach rings, classes of non-Archimedean Koethe spaces, p -adic Nevanlinna theory and applications, and sub-coordinate representation of p;

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Codes And Modular Forms

There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between;

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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

multiple zeta-functions, classes of Euler products of zeta-functions, and L-functions associated with modular forms. This volume should be helpful;

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Dynamics in One Non-Archimedean Variable

in algebra and analysis under their belts, although some previous exposure to non-archimedean fields, such as the $p$-adic numbers, is recommended;

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Modular Forms and Functions

This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its;

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P-adic Aspects Of Modular Forms

The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are;

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Elements of the Representation Theory of the Jacobi Group

embeddings of certain algebraic varieties and homogeneous spaces * correspondences between di?erent kinds of modular forms * L-functions associated;

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