Analytic and probabilistic methods in number theory : proceedings of the International Conference in Honour of J. Kubilius, Palanga, Lithuania, 24-28 September 1991 / editors, F. Schweiger and E. Manstavičius.

Format:

Book

Contributor:

Schweiger, Fritz, editor.

Manstavičius, E., editor.

Series:

New trends in probability and statistics ; Volume 2.

New Trends in Probability and Statistics ; Volume 2

Language:

English

Subjects (All):

Number theory.

Physical Description:

1 online resource (386 p.) : 1 Frontisp.

Edition:

Reprint 2020

Place of Publication:

Vilnius, Lithuania ; Utrecht, The Netherlands ; Tokyo, Japan : TEV : VSP, [1992]

Language Note:

In English.

Contents:

Frontmatter

CONTENTS

FOREWORD

PREFACE

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

Discriminants of Decomposable Forms

On Some Entire Modular Forms of Half Integral Weight on the Group гo(4N)

On Solutions of Linear Congruences

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

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

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

On Some Formulae in Analytic Number Theory. II

The Atkinson Formula Near the Critical Line

Large Value Estimates for Hecke Polynomials

On Normal Bases of Algebraic Number Fields

Number Theory and Number Crunching

List of Contributors

Notes:

Description based on print version record.

ISBN:

9783112314234

3112314239

OCLC:

1158146660