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.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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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. |
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Table of Contents:
- 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