New Trends in Probability and Statistics. / Vol. 4, : Analytic and Probabilistic Methods in Number Theory ; Proceedings of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23–27 September 1996 / / ed. by E. Laurincikas, E. Manstavicius, V. Stakenas.

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
MitwirkendeR:
HerausgeberIn:
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©1997
Year of Publication:2012
Edition:Reprint 2012
Language:English
Series:New Trends in Probability and Statistics ; Vol. 4
Online Access:
Physical Description:1 online resource (501 p.) :; 1 Frontispice and num. ill.
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Other title:i-iv --
CONTENTS --
PREFACE --
Part One. ALGEBRAIC NUMBER THEORY --
GEL’FOND’S TRANSCENDENCE METHOD BY ELEMENTARY MEANS --
ALGEBRAIC CONJUGATES OUTSIDE THE UNIT CIRCLE --
APPLICATIONS OF ALGEBRAIC UNITS --
ON SOME DIOPHANTINE EQUATIONS CONNECTED WITH PELLIAN EQUATION --
Part Two. QUADRATIC FORMS --
ON THE GENERAL UNIMPROVABLE ESTIMATES OF THE SINGULAR SERIES OF POSITIVE QUADRATIC FORMS --
ON THE REPRESENTATION OF NUMBERS BY CERTAIN QUADRATIC FORMS IN TEN VARIABLES --
Part Three. ZETA AND L-FUNCTIONS --
THE UNIVERSALITY THEOREM WITH WEIGHT FOR THE LERCH ZETA-FUNCTION --
THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION --
THE CORRESPONDENCE BETWEEN A DIRICHLET SERIES AND ITS COEFFICIENTS --
A NOTE ON THE MEAN SQUARE OF Ϛ(s) IN THE CRITICAL STRIP --
EXPLICIT FORMULAS AND ASYMPTOTIC EXPANSIONS FOR CERTAIN MEAN SQUARE OF HURWITZ ZETA-FUNCTIONS. II --
ON LIMIT DISTRIBUTION OF THE LERCH ZETA-FUNCTION --
THE FOURTH MOMENTS OF DIRICHLET SERIES --
Part Four. MULTIPLICATIVE NUMBER THEORY --
ESTIMATION OF A CERTAIN FUNCTION RELATED TO THE DIRICHLET DIVISOR PROBLEM --
ON SOME PAIRS OF MULTIPLICATIVE FUNCTIONS CORRELATED BY AN EQUATION --
A CHARACTERIZATION OF SOME ADDITIVE ARITHMETICAL FUNCTIONS --
ON PSEUDOSQUARES --
A REMARK ON SOME SPECIAL ARITHMETICAL FUNCTIONS --
MODIFIED ZETA FUNCTIONS AND THE NUMBER OF g-INTEGERS --
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 --
MULTIPLICATIVE FUNCTIONS AND STOCHASTIC PROCESSES --
CONVOLUTIONS OF THE POISSON LAWS IN NUMBER THEORY --
SHIFTED PRIMES AND KUBILIUS MODELS --
THE DISTRIBUTION OF THE NUMBER OF PRIME DIVISORS OF NUMBERS OF FORM ab + 1 --
MULTIPLICATIVE FUNCTIONS OF FAREY FRACTIONS --
ON SOME INEQUALITIES IN THE PROBABILISTIC NUMBER THEORY --
THE ASYMPTOTICAL EXPANSION IN THE MEAN VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS --
LOCAL DISTRIBUTIONS OF ARITHMETIC FUNCTIONS ON SEMIGROUPS --
THE MEAN VALUES OF MULTIPLICATIVE FUNCTIONS. III --
ON THE CONVERGENCE TO THE POISSON LAW --
Part Six. PROBABILISTIC THEORY OF NUMBER SYSTEMS AND SERIES --
RENORMALIZATION OF ALGORITHMS IN THE PROBABILISTIC SENSE --
PROBABILISTIC THEORY OF ADDITIVE FUNCTIONS RELATED TO SYSTEMS OF NUMERATION --
ON LIMIT THEOREMS FOR ENDOMORPHISMS OF A. RÉNYI TYPE --
DENSITIES FOR SUMS OF INDEPENDENT RANDOM VARIABLES AND THEIR APPLICATIONS TO THE VALUE DISTRIBUTIONS OF Δ(x), P(x) AND ς(s) --
Part Seven. MISCELLANEOUS --
NOTE ON THE TRANSCENDENCE OF A GENERATING FUNCTION --
SOLUTION OF THE EQUATIONS OF DYNAMICAL CHAOS --
LOGISTIC DIFFERENTIAL EQUATION OF NEUTRAL TYPE --
A THEOREM OF MÜNTZ TYPE FOR CHEBYSHEV POLYNOMIALS --
COMPLETE SYSTEMS OF HOLOMORPHIC FUNCTIONS --
Programme of the Conference
Format:Mode of access: Internet via World Wide Web.
ISBN:9783110944648
9783110637199
DOI:10.1515/9783110944648
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: ed. by E. Laurincikas, E. Manstavicius, V. Stakenas.