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Forms Of Fermat Equations And Their Zeta Functions

, the Galois representation on l-adic cohomology (and so in particular the zeta function) of the hypersurface associated with an arbitrary form;

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A Window into Zeta and Modular Physics

This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle;

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Window Into Zeta And Modular Physics

This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle;

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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

to future generations in their study of the fascinating theory of zeta and L-functions.Published by Mathematical Society of Japan and;

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

This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory;

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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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Vistas Of Special Functions Ii

equations of associated zeta-functions. In Vista II, which maintains the spirit of the theory of special functions through zeta-functions, the;

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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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Vistas Of Special Functions

throughout the literature are located in their proper positions and readers get enlightened access to them in this book. The areas covered include;

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London Mathematical Society Lecture Note Series

international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical;

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Introduction to Arithmetic Theory of Automorphic Functions

ubiquitous in number theory. This book introduces the reader to the subject and in particular to elliptic modular forms with emphasis on their number;

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Exponential Diophantine Equations

of algebraic numbers. Topics covered include the Thue equations, the generalised hyperelliptic equation, and the Fermat and Catalan equations. The;

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

the spectrally extremal objects, called Ramanujan graphs and Ramanujan complexes, which can be characterized by their associated zeta;

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Elliptic Functions

In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical;

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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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Weyl Group Multiple Dirichlet Series

Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups;

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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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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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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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Conference On L-functions, The

conference and at the Eigenvariety semester in Harvard University and Weng's detailed account of his works on high rank zeta functions and non;

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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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Arithmetic Differential Equations

operator is replaced by a 'Fermat quotient operator', and differential equations (viewed as functions on jet spaces) are replaced by 'arithmetic;

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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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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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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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