Analytic and Probabilistic Methods in Number Theory

New Trends in Probability and Statistics
Volume 4

Contents:

I. ALGEBRAIC NUMBER THEORY

P. Bundschuh

Gelfond's Transcendence Method by Elementary Means
A. Dubickas

Algebraic Conjugates Outside the Unit Circle
C. Kliorys

Applications of Algebraic Units
D. A. Mitkin

On Some Diophantine Equations Connected with Pellian Equation

II. QUADRATIC FORMS

G. Gogishvili

On the General Unimprovable Estimates of the Singular Series of Positive Quadratic Forms
T. Vepkhvadze and N. Tsalugelashvili

On the Representation of Numbers by Certain Quadratic Forms in Ten Variables

III. ZETA AND L-FUNCTIONS

R. Garunkstis

The Universality Theorem with Weight for the Lerch Zeta-Function
A. Ivić

The General Additive Divisor Problem and Moments of the Zeta-Function
M. Jutila

The Correspondence between a Dirichlet Series and Its Coefficients
A. Kacėnas

A Note on the Mean Square of in the Critical Strip
M. Katsurada and K. Matsumoto

Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions II
A. Laurincikas

On Limit Distribution of the Lerch Zeta-Function
A. I. Vinogradov

The Fourth Moments of Dirichlet Series

IV. MULTIPLICATIVE NUMBER THEORY

J. Furuya and Y. Tanigawa

Estimation of a Certain Function Related to the Dirichlet Divisor Problem
I. Kátai and B. M. Phong

On Some Pairs of Multiplicative Functions Correlated by an Equation
J.-L. Mauclaire

A Characterization of Some Additive Arithmetical Functions
A. Schinzel

On Pseudosquares
W. Schwarz and J. Spilker

A Remark on Some Special Arithmetical Functions
E. Stankus

Modified Zeta Functions and the Number of g-Integers

V. VALUE DISTRIBUTION OF ARITHMETIC FUNCTIONS

G. J. Babu

On a Conjecture by Erdős and Its Extension to Additive Functions on the Set of Pairs of Integers
G. Bareikis

Multiplicative Functions and Stochastic Processes
D. Bekelis

Convolutions of the Poisson Law Convolutions in Number Theory
P. D. T. A. Elliott

Shifted Primes and Kubilius Models
P. D. T. A. Elliott and A. Sárközy

The Distribution of the Number of Prime Divisors of Numbers of Form ab+1
K.-H. Indlekofer and V. Stakėnas

Multiplicative Functions of Farey Fractions
J. Kubilius

On Some Inequalities in the Probabilistic Number Theory
A. Maciulis

The Asymptotical Expansion in the Mean Value Theorem for Multiplicative Functions
R. Skrabutėnas

Local Distributions of Arithmetic Functions on Semigroups
G. Stepanauskas

The Mean Values of Multiplicative Functions III
J. Siaulys

On the Convergence to the Poisson Law

VI. PROBABILISTIC THEORY OF NUMBER SYSTEMS AND SERIES

P. Hubert and Y. Lacroix

Renormalization of Algorithms in the Probabilistic Sense
E. Manstavicius

Probabilistic Theory of Additive Functions Related to Systems of Numeration
G. Misevicius

On Limit Theorems for Endomorphisms of A. Rényi Type
M. Nakajima

Densities for Sums of Independent Random Variables and Their Applications to the Value Distributions of , P(x) and

VII. MISCELLANEOUS

J.-P. Allouche

Note on the Transcendence of a Generating Function
F. Ivanauskas, T. Meskauskas and B. Kaulakys

Solution of the Equations of Dynamical Chaos
D. Svitra

Logistic Differential Equation of Neutral Type
R. Wallisser

A Theorem of Müntz Type for Chebyshev Polynomials
R. Wallisser

Complete Systems of Holomorphic Functions

Programme of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23--27 September 1996

1997; x pages
ISBN 90-6764-255-X
Price: NLG 460.58/EUR 209/US$ 243