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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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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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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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Algebraic And Analytic Aspects Of Zeta Functions And L-functions

aim of the School was to study various aspects of zeta and L-functions with special emphasis on recent developments. A series of detailed;

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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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Number Theory With Applications to Cryptography

Congruences and their use in mock theta functions, Method of Iterative Sliding Window for Shorter Number of Operations in case of Modular;

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Number Theory 3

main conjecture, which establishes far-reaching relations between a $p$-adic analytic zeta function and a determinant defined from a Galois;

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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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In Pursuit of Zeta-3

An engrossing look at the history and importance of a centuries-old but still unanswered math problem For centuries, mathematicians the;

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Cosmology, Quantum Vacuum and Zeta Functions

. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimir effect in different configurations, and a wealth;

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Abelian Varieties with Complex Multiplication and Modular Functions

modular functions, and is called complex multiplication of such functions. In 1900 Hilbert proposed the generalization of these as the twelfth;

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Vistas Of Special Functions Ii

authors base their theory on a theorem which gives some arithmetical Fourier series as intermediate modular relations - avatars of the functional;

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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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Topics In Number Theory

This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the;

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Cambridge Tracts in Mathematics

provides a concise account of the theory of modular invariants as embodied in the work of Dickson, Glenn and Hazlett. Appendices are included. This;

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Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

a spectral density, of the restriction of the zeta function to any line within the critical strip. The book is addressed to a wide;

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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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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory;

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Elliptic Curves. (MN-40), Volume 40

of L functions match. The theory covered by Anthony Knapp in this book is, therefore, a window into a broad expanse of mathematics--including;

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Experimental Number Theory

theory, elliptic units, modular forms, along with exercises and selected solutions. Sample programs are written in GP, the scripting language;

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Physics A2

and is fully endorsed by AQA. Content coverage of the two compulsory AQA A-level Physics modules: A2 Module 4: Energy and Environment A2;

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History, Heritage and Timeless Service 1955-2013

This a history book of Alpha Kappa Alpha Sorority, Inc. Zeta Omicron Omega Chapter in Kinston, N. C. . This is a written documentation;

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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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Special Functions in Physics with MATLAB

book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are;

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Zeta Functions over Zeros of Zeta Functions

. And, we ?nd the largest wealth of explicit k properties to occur in the (generalized) zeta functions of the generic form ?s Zeta(s,a)= (v +a;

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Spectral Theory of the Riemann Zeta-function

woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the zeta function itself. The story starts;

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