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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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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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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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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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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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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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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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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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Conference On L-functions, The

contributions reflect the latest, most advanced and most important aspects of L-functions. In particular, it contains Hida's lecture notes at the;

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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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Rigid Cohomology

cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it;

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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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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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Bernoulli Numbers and Zeta Functions

functional equation of the Riemann zeta function and the Dirichlet L functions, and their special values at suitable integers; various formulas;

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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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Zeta Functions over Zeros of Zeta Functions

In the Riemann zeta function ?(s), the non-real zeros or Riemann zeros, denoted ?, play an essential role mainly in number theory, and;

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Arithmetic Geometry over Global Function Fields

over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem;

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Zeta Functions Of Graphs

and Schreier graphs. Then non-isomorphic simple graphs with the same zeta are produced, showing you cannot hear the shape of a graph. The;

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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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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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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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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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Spectral Theory of the Riemann Zeta-function

The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his;

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Spectral Theory of the Riemann Zeta-Function

The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his;

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Fractal Geometry, Complex Dimensions and Zeta Functions

is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new;

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Experimental Number Theory

book contains many examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field;

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