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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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Introduction To The Theory Of The Riemann Zeta-Function

This is a modern introduction to the analytic techniques used in the investigation of zeta functions, through the example of the Riemann;

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Lectures on the Riemann Zeta Function

The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B;

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

of the Hurwitz zeta Function as a function of the second variable, thereby connecting Riemann zeta function, gamma function, Bernoulli;

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London Mathematical Society Lecture Note Series

Riemann Zeta-function), and exponential sums, whilst displaying the subtle interplay between the additive and multiplicative aspects of the;

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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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Spectral Theory of Infinite Area Hyperbolic Surfaces

This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the;

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The Riemann Zeta-Function

survey presents a comprehensive and coherent account of Riemann zeta-function theory and applications. Starting with elementary theory, it;

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Algebraic Geometry

, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves.;

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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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The Bloch-Kato Conjecture for the Riemann Zeta Function

There are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one;

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

out of the author's teaching over several years, explores the interaction between number theory and combinatorics using zeta and $L$-functions;

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Bernoulli Numbers and Zeta Functions

indispensable for number theory, however, lies in the fact that special values of the Riemann zeta function can be written by using Bernoulli numbers;

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Contributions To The Theory Of Zeta-functions

record of the 150-year-old heritage starting from Riemann on zeta-functions, which are ubiquitous in all mathematical sciences, wherever there;

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Reassessing Riemann's Paper

the product formula for entire functions. A detailed analysis of the zeros of the Riemann zeta function is presented. The impact of Riemann's;

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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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Theory Of Hardy'S Z-Function

Hardy's Z-function, related to the Riemann zeta-function (s), was originally utilised by G. H. Hardy to show that (s) has infinitely many;

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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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Noncommutative Geometry, Quantum Fields and Motives

spectral realization of the zeros of the Riemann zeta function. This is based on the noncommutative geometry of the adele class space, which;

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Zeta Functions Of Graphs

Graph theory meets number theory in this stimulating book. Ihara zeta functions of finite graphs are reciprocals of polynomials, sometimes;

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Complex Analysis with Applications to Number Theory

of current interest, such as Cauchy theorems, Picard's theorems, Riemann-Zeta function, Dirichlet theorem, gamma function and harmonic functions.;

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Complex Analysis with Applications to Number Theory

of current interest, such as Cauchy theorems, Picard's theorems, Riemann-Zeta function, Dirichlet theorem, gamma function and harmonic functions.;

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The Random Matrix Theory of the Classical Compact Groups

characteristic polynomials with connections to the Riemann zeta function. This book will be a useful reference for researchers and an accessible;

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A Primer of Analytic Number Theory

in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes;

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A Primer of Analytic Number Theory

in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes;

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