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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

zeta function with applications to the distribution of prime numbers, including those made by Riemann himself, F. Carlson, and Hardy-Littlewood;

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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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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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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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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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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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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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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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The Distribution of Prime Numbers

series of natural numbers. The major part of the book is devoted to the analytical theory founded on the zeta-function of Riemann. Despite being;

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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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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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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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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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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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Reassessing Riemann's Paper

In this book, the author pays tribute to Bernhard Riemann (1826-1866), mathematician with revolutionary ideas, whose work on the theory;

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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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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

The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate;

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Complex Analysis with Applications to Number Theory

The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate;

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An Introduction to Probabilistic Number Theory

modern parts of the story. Such topics include the Chebychev bias, universality of the Riemann zeta function, exponential sums and the bewitching;

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A Comprehensive Course in Number Theory

ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes;

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A Comprehensive Course in Number Theory

ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes;

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Orthogonal and Symplectic $n$-level Densities

Snaith (Correlations of eigenvalues and Riemann zeros, 2008) used to calculate the $n$-correlation of the zeros of the Riemann zeta function;

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Essentials of Number Theory

function, Riemann zeta function, and totient function. Number theory has always fascinated amateurs as well as professional mathematicians;

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