Analytic and Probabilistic Methods in Number Theory : Proceedings of the International Conference in Honour of J. Kubilius, Palanga, Lithuania, 24-28 September 1991

Schweiger, F. (EDT); Manstavicius, E. (EDT)

ISBN 10: 3112303075 / ISBN 13: 9783112303078

Verlag: De Gruyter, 1992

Bestandsnummer des Verkäufers 41153160-n

Inhaltsangabe:

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

Bibliografische Details

Titel: Analytic and Probabilistic Methods in Number...
Verlag: De Gruyter
Erscheinungsdatum: 1992
Einband: Hardcover
Zustand: New