WIMAN TYPE INEQUALITY FOR ENTIRE MULTIPLE DIRICHLET SERIES WITH ARBITRARY COMPLEX EXPONENTS.

Autor: KURYLIAK, A. O., SKASKIV, O. B.
Předmět:
Zdroj: Matematychni Studii; 2023, Vol. 59 Issue 2, p178-198, 21p
Abstrakt: It is proved analogues of the classical Wiman's inequality for the class D of absolutely convergents in the whole complex plane Cp (entire) Dirichlet series of the form... with such a sequence of exponents... and... we denote... the sequence (-ln |an|)n∈Z p + arranged by non-decreasing. The main result of the paper: Let F ∈ D. If ... then there exists a set... such that... and relation... In general, under the specified conditions, the obtained inequality is exact. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index