Analytic and probabilistic methods in number theory : proceedings of the Second International Conference in honour of J. Kubilius, Palanga, Lithuania, 23-27 September 1996 / editors, A. Laurincikas, E. Manstavicius and V. Stakenas.

Format:

Book

Contributor:

Kubilius, Jonas.

Laurinčikas, Antanas.

Manstavičius, E.

Stakėnas, V.

Series:

New Trends in Probability and Statistics

New trends in probability and statistics ; v. 4

New Trends in Probability and Statistics ; Vol. 4

Language:

English

Subjects (All):

Number theory--Congresses.

Number theory.

Probabilistic number theory--Congresses.

Probabilistic number theory.

Physical Description:

1 online resource (512 p.)

Edition:

Reprint 2012

Place of Publication:

Vilnius, Lithuania : TEV ; Utrecht, the Netherlands : VSP, 1997.

Language Note:

English

Contents:

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, ARTŪRAS

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 / GARUNKŠTIS, R.

THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION / IVIĆ, ALEKSANDAR

THE CORRESPONDENCE BETWEEN A DIRICHLET SERIES AND ITS COEFFICIENTS / JUTILA, MATTI

A NOTE ON THE MEAN SQUARE OF Ϛ(s) IN THE CRITICAL STRIP / KAČĖNAS, 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 / LAURINČIKAS, 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, Β. 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. / STAKĖNAS, V.

ON SOME INEQUALITIES IN THE PROBABILISTIC NUMBER THEORY / KUBILIUS, JONAS

THE ASYMPTOTICAL EXPANSION IN THE MEAN VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS / MAČIULIS, A.

LOCAL DISTRIBUTIONS OF ARITHMETIC FUNCTIONS ON SEMIGROUPS / SKRABUTĖNAS, RIMANTAS

THE MEAN VALUES OF MULTIPLICATIVE FUNCTIONS. III / STEPANAUSKAS, GEDIMINAS

ON THE CONVERGENCE TO THE POISSON LAW / ŠIAULYS, 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 / MANSTAVIČIUS, E.

ON LIMIT THEOREMS FOR ENDOMORPHISMS OF A. RÉNYI TYPE / MISEVIČIUS, G.

DENSITIES FOR SUMS OF INDEPENDENT RANDOM VARIABLES AND THEIR APPLICATIONS TO THE VALUE DISTRIBUTIONS OF Δ(x), P(x) AND ς(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. / MEŠKAUSKAS1, T. / KAULAKYS, B.

LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE / ŠVITRA, D.

A THEOREM OF MÜNTZ TYPE FOR CHEBYSHEV POLYNOMIALS / WALLISSER, ROLF

COMPLETE SYSTEMS OF HOLOMORPHIC FUNCTIONS / WALLISSER, ROLF

Programme of the Conference

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9783110944648

3110944642

OCLC:

979754873