Analytic and Probabilistic Methods in Number Theory

Frontmatter -- CONTENTS -- PREFACE -- Part One. ALGEBRAIC NUMBER THEORY -- GEL'FOND'S TRANSCENDENCE METHOD BY ELEMENTARY MEANS / BUNDSCHUH, PETER -- ALGEBRAIC CONJUGATES OUTSIDE THE UNIT CIRCLE / DUBICKAS, ARTuRAS -- APPLICATIONS OF ALGEBRAIC UNITS / KLIORYS, CONSTANTINE -- ON SOME DIOPHANTINE EQUATIONS CONNECTED WITH PELLIAN EQUATION / MITKIN, D. A. -- Part Two. QUADRATIC FORMS -- ON THE GENERAL UNIMPROVABLE ESTIMATES OF THE SINGULAR SERIES OF POSITIVE QUADRATIC FORMS / GOGISHVILI, G. -- ON THE REPRESENTATION OF NUMBERS BY CERTAIN QUADRATIC FORMS IN TEN VARIABLES / VEPKHVADZE, T. / TSALUGELASHVILI, N. -- Part Three. ZETA AND L-FUNCTIONS -- THE UNIVERSALITY THEOREM WITH WEIGHT FOR THE LERCH ZETA-FUNCTION / GARUNKSTIS, R. -- THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION / IVIC, ALEKSANDAR -- THE CORRESPONDENCE BETWEEN A DIRICHLET SERIES AND ITS COEFFICIENTS / JUTILA, MATTI -- A NOTE ON THE MEAN SQUARE OF ?(s) IN THE CRITICAL STRIP / KACENAS, A. -- EXPLICIT FORMULAS AND ASYMPTOTIC EXPANSIONS FOR CERTAIN MEAN SQUARE OF HURWITZ ZETA-FUNCTIONS. II / KATSURADA, MASANORI / MATSUMOTO, KOHJI -- ON LIMIT DISTRIBUTION OF THE LERCH ZETA-FUNCTION / LAURINCIKAS, A. -- THE FOURTH MOMENTS OF DIRICHLET SERIES / VINOGRADOV, A. I. -- Part Four. MULTIPLICATIVE NUMBER THEORY -- ESTIMATION OF A CERTAIN FUNCTION RELATED TO THE DIRICHLET DIVISOR PROBLEM / FURUYA, JUN / TANIGAWA, YOSHIO -- ON SOME PAIRS OF MULTIPLICATIVE FUNCTIONS CORRELATED BY AN EQUATION / KÁTAI, I. / PHONG, ?. M. -- A CHARACTERIZATION OF SOME ADDITIVE ARITHMETICAL FUNCTIONS / MAUCLAIRE, JEAN-LOUP -- ON PSEUDOSQUARES / SCHINZEL, A. -- A REMARK ON SOME SPECIAL ARITHMETICAL FUNCTIONS / SCHWARZ, WOLFGANG / SPILKER, JÜRGEN -- MODIFIED ZETA FUNCTIONS AND THE NUMBER OF g-INTEGERS / STANKUS, E. -- Part Five. VALUE DISTRIBUTION OF ARITHMETIC FUNCTIONS -- ON A CONJECTURE BY ERDÖS AND ITS EXTENSION TO ADDITIVE FUNCTIONS ON THE SET OF PAIRS OF INTEGERS / BABU, GUTTI JOGESH -- MULTIPLICATIVE FUNCTIONS AND STOCHASTIC PROCESSES / BAREIKIS, G. -- CONVOLUTIONS OF THE POISSON LAWS IN NUMBER THEORY / BEKELIS, D. -- SHIFTED PRIMES AND KUBILIUS MODELS / ELLIOTT, P. D. T. A. -- THE DISTRIBUTION OF THE NUMBER OF PRIME DIVISORS OF NUMBERS OF FORM ab + 1 / ELLIOTT, P. D. T. A. / SÁRKÖZY, A. -- MULTIPLICATIVE FUNCTIONS OF FAREY FRACTIONS / INDLEKOFER, K.-H. / STAKENAS, V. -- ON SOME INEQUALITIES IN THE PROBABILISTIC NUMBER THEORY / KUBILIUS, JONAS -- THE ASYMPTOTICAL EXPANSION IN THE MEAN VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS / MACIULIS, A. -- LOCAL DISTRIBUTIONS OF ARITHMETIC FUNCTIONS ON SEMIGROUPS / SKRABUTENAS, RIMANTAS -- THE MEAN VALUES OF MULTIPLICATIVE FUNCTIONS. III / STEPANAUSKAS, GEDIMINAS -- ON THE CONVERGENCE TO THE POISSON LAW / SIAULYS, J. -- Part Six. PROBABILISTIC THEORY OF NUMBER SYSTEMS AND SERIES -- RENORMALIZATION OF ALGORITHMS IN THE PROBABILISTIC SENSE / HUBERT, P. / LACROIX, Y. -- PROBABILISTIC THEORY OF ADDITIVE FUNCTIONS RELATED TO SYSTEMS OF NUMERATION / MANSTAVICIUS, E. -- ON LIMIT THEOREMS FOR ENDOMORPHISMS OF A. RÉNYI TYPE / MISEVICIUS, G. -- DENSITIES FOR SUMS OF INDEPENDENT RANDOM VARIABLES AND THEIR APPLICATIONS TO THE VALUE DISTRIBUTIONS OF ?(x), P(x) AND ?(s) / NAKAJIMA, MASUMI -- Part Seven. MISCELLANEOUS -- NOTE ON THE TRANSCENDENCE OF A GENERATING FUNCTION / ALLOUCHE, JEAN-PAUL -- SOLUTION OF THE EQUATIONS OF DYNAMICAL CHAOS / IVANAUSKAS, F. / MESKAUSKAS1, T. / KAULAKYS, B. -- LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE / SVITRA, D. -- A THEOREM OF MÜNTZ TYPE FOR CHEBYSHEV POLYNOMIALS / WALLISSER, ROLF -- COMPLETE SYSTEMS OF HOLOMORPHIC FUNCTIONS / WALLISSER, ROLF -- Programme of the Conference