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

Contents

I. DIOPHANTINE APPROXIMATIONS AND TRANSCENDENTAL NUMBER THEORY

Polynomials of Minimal Diophantic Relative Deviation from Zero on the Interval [0;1]
E. Aparicio Bernardo

A Theorem of Gelfond via Schneider's Method
P. Bundschuh

An Estimation of the Difference Between Two Zeros of a Polynomial
A. Dubickas

On the Arithmetic Properties of the Values of E-Functions
A. B. Shidlovski

Approximations of Irrationals by m/n Satisfying f(m/n)=a
V. Stakėnas

II. FORMS AND CONGRUENCES

Discriminants of Decomposable Forms
J. H. Evertse and K. Gyory

On Some Entire Modular Forms of Half Integral Weight of the Group Γ₀(4N)
G. Lomadze

On Solutions of Linear Congruences
V. I. Nechaev

III. METRIC NUMBER THEORY

The Method of Trigonometric Sums and Lower Estimates of Hausdorff Dimension
V. I. Bernik and N. A. Pereverseva

The Optimal Zone for Large Deviations of the Denominators of Continued Fractions
G. Misevičius

Ergodic Properties of Multi-Dimensional Subtractive Algorithms
F. Schweiger

IV. MULTIPLICATIVE NUMBER THEORY

Selberg's Inequality in Arithemtic Progressions
C. Calderon

Smoothing and Inversion Inequalities
A. S. Fainleib

The Mean Values of Multiplicative Functions Defined on a Semigroup
A. Mačiulis

Semigroup Elements Free of Large Prime Factors
E. Manstavičius

On Multiplicative Functions with Regularity Properties
. Nagasaka, P. Jau-Shyong Shiue and X. Yu

On an Analytic Problem Considered by Sierpinski and Ramanujan
A. Schinzel

Distribution of Prime Vectors in Integral Lattices
M. I. Tulyaganova

Multiplicative Functions of Special Type in Short Intervals
P. Varbanec

V. DISTRIBUTION OF ADDITIVE FUNCTIONS

Smoothness of the Distributions of Arithmetic Functions
G. J. Babu

On the Erdos-Wintner Theorem in Banach Spaces
J. del la Cal

Additive Arithmetic Functions and Processes with Independent Increments
B. Grigelionis

On the Modulus of Continuity of the Distribution of some Arithmetical Functions
K.-H. Indlekofer, I. Katai

Measure Theory and Arithmetical Functions
J.-L. Mauclaire

Generalizations of Kubilius' Class of Additive Functions. I
I. Z. Ruzsa

The Multi-Dimensional Local Theorem for Additive Arithmetic Functions
G. Stepanauskas

The von Mises Theorem in Number Theory
J. Šiaulys

The Law of Large Numbers in the Case of Shifted Primes
N. M. Timofeev

VI. ZETA-FUNCTIONS AND ALBEBRAIC NUMBER THEORY

On Some Formulae in Analytic Number Theory. II
T. Fryska

The Atkinson Formula Near the Critical Line
A. Laurinčikas

Large Value Estimates for Hecke Polynomials
M. Maknys

VII. COMPUTATIONAL NUMBER THEORY AND APPLICATIONS TO NUMERIC ANALYSIS

On Normal Bases of Algebraic Number Fields
S. A. Stepanov and I. E. Shparlinski

Number Theory and Number Crunching
P. Zinterhof