Dirichlet series with independent exponents and some of their applications
Unknown
Submitted 1975 | SovietRxiv: ru-197501.49352 | Original in English

Abstract

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.

Submission history

Dirichlet series with independent exponents and some of their applications