On the asymptotic independence of Dirichlet series

被引：0

作者：

Laurinčikas A. ^{[1
,2
]}

机构：

[1] Vilnius University, 2006 Vilnius

[2] Šiauliai University, 5419 Šiauliai

来源：

Lithuanian Mathematical Journal | 1999年 / 39卷 / 1期

关键词：

Almost-periodic function; Characteristic function; Dirichlet series; Limit distribution; Linear independent systems; Probability measure;

D O I：

10.1007/BF02465535

中图分类号：

学科分类号：

摘要：

The joint limit distribution of functions given by Dirichlet series is studied. The necessary and sufficient condition when this distribution is a product of marginal distributions is found. An example of such Dirichlet series with linear independent systems of exponents is presented. © 1999 Kluwer Academic/Plenum Publishers.

引用

页码：51 / 57

页数：6

共 50 条

[21] On the Dirichlet series and asymptotic expansions of integral functions of zero order
Littlewood, JE
BRITISH JOURNAL OF DERMATOLOGY AND SYPHILIS, 1943, 55 (07): : 209 - 262
[22] On the Algebraic Difference Independence of the Euler Gamma Function G and Dirichlet Series
Li, Xiao-Min
Tahir, Hassan
Gao, Xue-Yuan
CONSTRUCTIVE APPROXIMATION, 2023, 58 (01) : 121 - 149
[23] DETERMINATION OF CONVERGENCE FACTORS FROM ASYMPTOTIC APPROXIMATION PROPERTIES OF DIRICHLET SERIES
HOISCHEN, L
MOGK, E
JOURNAL OF APPROXIMATION THEORY, 1978, 24 (04) : 304 - 309
[24] AN ASYMPTOTIC SERIES FOR THE MEAN-VALUE OF DIRICHLET L-FUNCTIONS
HEATHBROWN, DR
COMMENTARII MATHEMATICI HELVETICI, 1981, 56 (01) : 148 - 161
[25] On the asymptotic representation of the summatory function of Dirichlet series with positive coefficients.
Kienast, A
MATHEMATISCHE ZEITSCHRIFT, 1939, 44 : 115 - 126
[26] Asymptotic growth on curves of a Dirichlet series with regular dominant on a sequence of points
N. N. Aitkuzhina
Siberian Mathematical Journal, 2012, 53 : 193 - 200
[27] Asymptotic growth on curves of a Dirichlet series with regular dominant on a sequence of points
Aitkuzhina, N. N.
SIBERIAN MATHEMATICAL JOURNAL, 2012, 53 (02) : 193 - 200
[28] On the Asymptotic Behavior of the Remainder of a Dirichlet Series Absolutely Convergent in a Half-Plane
L. Ya. Mykytyuk
M. M. Sheremeta
Ukrainian Mathematical Journal, 2003, 55 (3) : 456 - 467
[29] On the asymptotic representation of the summatory function from Dirichlet series with positive coefficients.
Kienast, A
MATHEMATISCHE ZEITSCHRIFT, 1939, 45 : 554 - 558
[30] REMARKS ON ASYMPTOTIC INDEPENDENCE
Davydov, Y. A.
Novikov, S. M.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2021, 66 (01) : 44 - 57

← 1 2 3 4 5 →