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