F. Schweiger & E. Manstavičius 
Analytic and Probabilistic Methods in Number Theory [PDF ebook] 
Proceedings of the International Conference in Honour of J. Kubilius, Palanga, Lithuania, 24–28 September 1991

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 ?o(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