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Author:   Anatoly A. Karatsuba (Steklov Mathematical Institute, Moscow, Russia)
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   0.476kg
ISBN:  

9780849328664

ISBN 10:   0849328667
Pages:   208
Publication Date:   22 November 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock  

Table of Contents

The Complex Integration Method and Its Application in Number Theory, Generating Functions in Number Theory, Summation Formula, Riemann's Zeta-Function and Its Simplest Properties, The Theory of Riemann's Zeta-Function, Zeros on the Critical Line, The Boundary of Zeros, Approximate Equations of the z(s) Function, The Method of Trigonometric Sums in the Theory of the z(s) Function, Density Theorems, The Order of Growth of |z(s)| in a Critical Strip, Universal Properties of the z(s) Function, Riemann's Hypothesis, Its Equivalents, Computations, Dirichlet L-Functions: Dirichlet's Characters, Dirichlet L-Functions and Prime Numbers in Arithmetic Progressions, Zeros of L-Functions, Real Zeros of L-Functions and the Number of Classes of Binary Quadratic Forms, Density Theorems, L-Functions and Nonresidues, Approximate Equations, On Primitive Roots, References, Author Index, Subject Index

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