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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

This volume contains lectures presented at the French-Japanese Winter School on Zeta and L-functions, held at Muira, Japan, 2008. The main;

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Conference On L-functions, The

from algebraic and analytic number theories, automorphic forms, to geometry and mathematical physics, but also treats the theory as a whole.The;

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Zeta and L-Functions of Varieties & Mo

of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting;

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Elementary and Analytic Theory of Algebraic Numbers

includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution;

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On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

orbital integrals in terms of Dedekind zeta functions, Hecke $L$-functions, and the Shintani zeta function for the space of binary quadratic forms.;

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Sheaves and Functions Modulo P: Lectures on the Woods Hole Trace Formula

values of Goss L-functions and zeta functions. Based on lectures given at the Morningside Center in Beijing in 2013, this book serves as both an;

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Vistas Of Special Functions

: Bernoulli polynomials, the gamma function (the beta and the digamma function), the zeta-functions (the Hurwitz, the Lerch, and the Epstein zeta;

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Zeta and $L$-functions in Number Theory and Combinatorics

Zeta and $L$-functions play a central role in number theory. They provide important information of arithmetic nature. This book, which grew;

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Introduction To The Theory Of The Riemann Zeta-Function

of analytic number theory. Since then many other classes of 'zeta function' have been introduced and they are now some of the most intensively studied;

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

functions, special values of zeta and L-functions, many of which are closely related to Arakawa's works.This collection of papers illustrates;

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Analytic Number Theory

, using results from algebraic geometry and the geometry of numbers; the theory of Siegel's zeros and of exceptional characters of L-functions;

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Number Theory: Volume II

is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This;

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Introduction to Arithmetic Theory of Automorphic Functions

associate zeta functions to modular forms. At a more advanced level, complex multiplication of elliptic curves and abelian varieties is discussed;

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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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Lectures On Profinite Topics In Group Theory

In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each;

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London Mathematical Society Student Texts

In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each;

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Elliptic Functions

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the;

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The Hurwitz and the Lerch Zeta-Functions in the Second Variable

The Hurwitz and the Lerch Zeta- Functions in the Second Variable, which is based on author's own research work, mainly deals with the study;

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Zeta Functions Of Reductive Groups And Their Zeros

approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields;

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Classical Complex Analysis

number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric;

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Classical Complex Analysis

number is, followed by a detailed account of algebraic, analytic and geometric properties of standard complex-valued functions. Geometric;

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Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval

Consider a space $M$, a map $f:Mto M$, and a function $g:M to {mathbb C}$. The formal power series $zeta (z) = exp sum ^infty_{m=1} frac {z;

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Orthogonal and Symplectic $n$-level Densities

. This method uses the Ratios Conjectures (Conrey, Farmer, and Zimbauer, 2008) for averages of ratios of zeta or $L$-functions. Katz and Sarnak;

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Class Field Theory and L Functions

A Thorough Presentation of the Theory of Algebraic Numbers and Functions Built on a presentation of algebraic foundations Topics;

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Contributions To The Theory Of Zeta-functions

are presented in a clear and simple manner for readers to readily apply without much knowledge of zeta-functions.This volume aims to keep a;

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Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval

Consider a space $M$, a map $f:Mto M$, and a function $g:M to {Bbb C $. The formal power series $zeta(z) = exp sum infty_{m=1 frac{z {m;

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