Title Periodinės Hurvico dzeta funkcijos universalumas /
Translation of Title Universality of the periodic Hurwitz zeta-function.
Authors Stancevičiūtė, Lijana
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Pages 25
Keywords [eng] periodic ; Hurwitz ; zeta ; universality
Abstract [eng] Let s be a complex variable, and a be a periodic sequence of complex numbers. The periodic Hurwitz zeta-function is defined, for sigma > 1 and by analytic continuation elsewhere. We prove that the function is universal in the following sense. Let K be a compact subset of the strip with connected complement, and let the function f(s) be continuous on K and analytic in the interior of K. Than, for every epsilion > 0.
Type Master thesis
Language Lithuanian
Publication date 2009