Stets Y. Asymptotic behaviour of Dirichlet series absolutely convergent in the halfplane

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U002860

Thesis Registration Form

0416U002860.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

10-06-2016

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In the thesis the lower and the upper estimates of the sum of Dirichlet series with arbitrary abscissa of absolute convergence and positive coefficients are obtained. It was possible to establish the connection between the growth of maximum modulus and maximum term and the behaviour of the coefficients of the Dirichlet series with null abscissa of absolute convergence in the terms of many-termed power asymptotics. The analogues of Lindelof’s theorem and Whittaker’s inequality for the Dirichlet series absolutely convergent in the halfplane of the finite R-order by Gaisin are obtained.

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Files

aref.doc

dis.pdf

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