Analytic and Probabilistic Methods in Number Theory: Proceedings of the Second International Conference in Honour of J. Kubilius, Palanga, Lithuania, 23-27 September 1996Jonas Kubilius, Antanas Laurinčikas, E. Manstavičius, Vilius Stakenas VSP, 1997 - 501 pages On the occassion of the 75th birthday of Jonas Kubilius - one of the outstanding mathematicians of the 20th century - the Second International Conference Analytic and Probabilistic Methods in Number Theory was organized in September 1996. |
Table des matières
Applications of algebraic units | 23 |
On the representation of numbers by certain quadratic forms | 45 |
The universality theorem with weight for the Lerch zetafunction | 59 |
The correspondence between a Dirichlet series and its coefficients | 91 |
A note on the mean square of s in the critical strip | 107 |
On limit distribution of the Lerch zetafunction | 135 |
The fourth moments of Dirichlet series | 149 |
Estimation of a certain function related to the Dirichlet divisor | 171 |
On some inequalities in the probabilistic number theory | 345 |
The asymptotical expansion in the mean value theorem | 357 |
Local distributions of arithmetic functions on semigroups | 363 |
The mean values of multiplicative functions III | 371 |
On the convergence to the Poisson | 389 |
Renormalization of algorithms in the probabilistic sense | 401 |
Probabilistic theory of additive functions related to systems | 413 |
On limit theorems for endomorphisms of A Rényi type | 431 |
On some pairs of multiplicative functions correlated by an equation | 191 |
A characterization of some additive arithmetical functions | 205 |
A remark on some special arithmetical functions | 221 |
Modified zeta functions and the number of gintegers | 247 |
On a conjecture by Erdős and its extension to additive functions | 261 |
Convolutions of the Poisson laws in number theory | 283 |
Shifted primes and Kubilius models | 297 |
The distribution of the number of prime divisors of numbers | 313 |
Densities for sums of independent random variables and their | 441 |
Note on the transcendence of a generating function | 461 |
Solution of the equations of dynamical chaos | 467 |
Logistic differential equation of neutral type | 475 |
A theorem of Müntz type for Chebyshev polynomials | 484 |
R Wallisser | 489 |
Programme of the Conference | 499 |
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Expressions et termes fréquents
additive arithmetical functions additive divisor problem additive functions algebraic number analytic arithmetical functions asymptotic bounded central limit theorem coefficients compact constant converge weakly COROLLARY cusp form defined denote density Dirichlet character Dirichlet series distribution function Elliott entire function equality Erdős error term estimate exists finite follows formula function f Hence holds holomorphic Hurwitz zeta-function implies independent random variables inequality Ivić Jutila Kubilius Laurinčikas Lemma Lerch zeta-function linear Lithuania log log log² main term Manstavičius mean value multiplicative functions N₁ natural numbers obtain polynomials positive integers prime number Probabilistic Number Theory probability measure proof of Theorem proved quadratic forms Ramanujan real numbers result Riemann zeta-function satisfies the conditions Schwarz and Spilker sequence Skrabutėnas space Trends in Prob uniformly Vilnius University VSP/TEV zero Σ Σ