Dirichlet series with independent exponents and some of~their applications
Sbornik. Mathematics, Tome 25 (1975) no. 1, pp. 1-36
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In this paper the methods of probability theory are used to prove a number of theorems on the behavior of Dirichlet series with independent exponents. The results so obtained are applied to the theory of the $\zeta$-function and to the behavior of the solution of the wave equation as $t\to\infty$.
Bibliography: 25 titles.
@article{SM_1975_25_1_a0,
author = {E. M. Nikishin},
title = {Dirichlet series with independent exponents and some of~their applications},
journal = {Sbornik. Mathematics},
pages = {1--36},
publisher = {mathdoc},
volume = {25},
number = {1},
year = {1975},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1975_25_1_a0/}
}
E. M. Nikishin. Dirichlet series with independent exponents and some of~their applications. Sbornik. Mathematics, Tome 25 (1975) no. 1, pp. 1-36. http://geodesic.mathdoc.fr/item/SM_1975_25_1_a0/