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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MitwirkendeR: | |
HerausgeberIn: | |
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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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 |
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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. |