New Trends in Probability and Statistics. / Vol. 2, : Analytic and Probabilistic Methods in Number Theory ; Proceedings of the International Conference in Honour of J. Kubilius, Palanga, Lithuania, 24–28 September 1991 / / ed. by E. Manstavičius, F. Schweiger.

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Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2020]
©1992
Year of Publication:2020
Edition:Reprint 2020
Language:English
Series:New Trends in Probability and Statistics ; Vol. 2
Online Access:
Physical Description:1 online resource (386 p.) :; 1 Frontisp.
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Description
Other title: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 гo(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
Format:Mode of access: Internet via World Wide Web.
ISBN:9783112314234
9783110637199
DOI:10.1515/9783112314234
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: ed. by E. Manstavičius, F. Schweiger.