New Trends in Probability and Statistics: Analytic and probabilistic methods in number theory, proceedings of the International Conference in honour of J. Kubilius, Palanga, Lithuania, 24 - 28 September 1991

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Fritz Schweiger, Eugenijus Manstavičius
VSP, 1992 - Science - 386 pages
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Contents

A Theorem of Gelfond via Schneiders Method
9
An Estimation of the Difference Between Two Zeros of a Polynomial
17
On the Arithmetic Properties of the Values of Functions
23
Approximation of Irrationals by rnn Satisfying f mna
31
Discriminants of Decomposable Forms
39
On Some Entire Modular Forms of Half Integral
57
On Solutions of Linear Congruences
69
The Method of Trigonometric Sums and Lower Estimates
75
Smoothness of the Distributions of Arithmetic Functions
191
Additive Arithmetic Functions and Processes
211
Topics on Arithmetic Functions with Rational Arguments
235
Measure Theory and Arithmetical Functions
251
Generalizations of Kubilius Class of Additive Functions I
269
The MultiDimensional Local Theorem for Additive Arithmetic Functions
285
The von Mises Theorem in Number Theory
293
The Law of Large Numbers in the Case of Shifted Primes
311

The Optimal Zone for Large Deviations of the Denominators
83
Ergodic Properties of MultiDimensional Subtractive Algorithms
91
Selbergs Inequality in Arithmetic Progressions
103
The Mean Values of Multiplicative Functions Defined
121
Semigroup Elements Free of Large Prime Factors
135
On Multiplicative Functions with Regularity Properties
155
Distribution of Prime Vectors in Integral Lattices
173
On Some Formulae in Analytic Number Theory II
319
The Atkinson Formula Near the Critical Line
335
Large Value Estimates for Hecke Polynomials
355
On Normal Bases of Algebraic Number Fields
369
Number Theory and Number Crunching
379
List of Contributors
387
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