Analytic and Probabilistic Methods in Number Theory

Language: English

Published by De Gruyter Apr 1992, 1992

3112303075 / 9783112303078

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This item is printed on demand - it takes 3-4 days longer - Neuware -Frontmatter -- CONTENTS -- FOREWORD -- PREFACE -- I. DIOPHANTINE APPROXIMATIONS AND TRANSCENDENTAL NUMBER THEORY -- Polynomials of Minimal Diophantic Relative Deviation from Zero on the Interval [0,1] -- A Theorem of Gelfond via Schneider's Method -- An Estimation of the Difference Between Two Zeros of a Polynomial -- On the Arithmetic Properties of the Values of E-Functions -- Approximation of Irrationals by m/n, Satisfying f (m/n)=a -- II. FORMS AND CONGRUENCES -- Discriminants of Decomposable Forms -- On Some Entire Modular Forms of Half Integral Weight on the Group o(4N) -- On Solutions of Linear Congruences -- III. METRIC NUMBER THEORY -- The Method of Trigonometric Sums and Lower Estimates of Hausdorff Dimension -- The Optimal Zone for Large Deviations of the Denominators of Continued Fractions -- Ergodic Properties of Multi-Dimensional Subtractive Algorithms -- IV. MULTIPLICATIVE NUMBER THEORY -- Selberg's Inequality in Arithmetic Progressions -- Smoothing and Inversion Inequalities -- The Mean Values of Multiplicative Functions Defined on a Semigroup -- Semigroup Elements Free of Large Prime Factors -- On Multiplicative Functions with Regularity Properties -- On an Analytic Problem Considered by Sierpiriski and Ramanujan -- Distribution of Prime Vectors in Integral Lattices -- Multiplicative Functions of Special Type in Short Intervals -- V. DISTRIBUTION OF ADDITIVE FUNCTIONS -- Smoothness of the Distributions of Arithmetic Functions -- On the Erdos-Wintner Theorem in Banach Spaces -- Additive Arithmetic Functions and Processes with Independent Increments -- On the Modulus of Continuity of the Distribution of Some Arithmetical Functions -- Topics on Arithmetic Functions with Rational Arguments -- Measure Theory and Arithmetical Functions -- Generalizations of Kubilius' Class of Additive Functions. I -- The Multi-Dimensional Local Theorem for Additive Arithmetic Functions -- The von Mises Theorem in Number Theory -- The Law of Large Numbers in the Case of Shifted Primes -- VI. ZETA-FUNCTIONS AND ALGEBRAIC NUMBER THEORY -- On Some Formulae in Analytic Number Theory. II -- The Atkinson Formula Near the Critical Line -- Large Value Estimates for Hecke Polynomials -- VII. COMPUTATIONAL NUMBER THEORY AND APPLICATIONS TO NUMERIC ANALYSIS -- On Normal Bases of Algebraic Number Fields -- Number Theory and Number Crunching -- List of Contributors 400 pp. Englisch.

Seller Inventory # 9783112303078

Title
Analytic and Probabilistic Methods in Number Theory
Author
E. Manstavicius
Publisher
De Gruyter Apr 1992
Publication year
1992
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3112303075
ISBN 13
9783112303078
Item weight
748 grams
Dimensions
236x160x27 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

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AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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