Zadorozhna O. Asymptotic behavior of analytic functions, represented by the Dirichlet series

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U004657

Thesis Registration Form

0412U004657.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

26-10-2012

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In the thesis we receive relation between a domains of convergence, absolute convergence and a domain of the existence of the maximal term of the multiple Dirichlet series, we investigate Bohr's effect for the random multiple Dirichlet series, that is we describe conditions when the domain of convergence of the random multiple Dirichlet increase almost surely and the same relation as in the case of usual Dirichlet series holds, we obtain inequality of Wiman type without exceptional sets in the some classes of Dirichlet series with upper bounds on the rate of growth.

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Files

aref.doc

dis.doc

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