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.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Babu, G. J.,; Bernardo, E. Aparicio,; Bernik, V. I.,; Bundschuh, P.,; Calderόn, C.,; De La Cal, J.,; Dublckas, A.,; Evertse, J. H.,; Fainleib, A. S.,; Fryska, T.,; Grigelionis, B.,; Györ, K.,; Indlekofer, K.-H.,; Kryžius, Z.,; Kátai, I.,; Laurinčikas, A.,; Lomadze, G.,; Maknys, M.,; Manstavičius, E.,; Mauclaire, J.-L.,; Mačiulis, A.,; Misevičius, G.,; Nagasaka, K.,; Nechaev, V. I.,; Pereverseva, N. A.,; Ruzsa, I. Z.,; Schinzel, A.,; Schweiger, F.,; Shidlovskii, A. B.,; Shiue, P. Jau-Shyong,; Shparlinski, I. E.,; Stakėnas, V.,; Stepanauskas, G.,; Stepanov, S. A.,; Timofeev, N. M.,; Tulyaganova, M. I.,; Varbanec, P.,; Yu, X.,; Zinterhof, P.,; Šiaulys, J.,
• HerausgeberIn: Manstavičius, E.,; Schweiger, F.,
• 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
• Physical Description: 1 online resource (386 p.) :; 1 Frontisp.

Table of Contents

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