Limit theorems for Lerch zeta-functions with algebraic irrational parameter

Limit theorems for Lerch zeta-functions with algebraic irrational parameter

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Limit theorems in the sense of weak convergence of probability measures for the Lerch zeta-function with algebraic irrational parameter are obtained. A theorem of mentioned type on the complex plane, a joint limit theorem for a collection of Lerch zeta-functions on the complex plane as well as a lim...

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Bibliographic Details
Main Author: Genienė, Danutė Regina
Other Authors: Stepanauskas, Gediminas
Format: Doctoral Thesis
Language:English
Published: Lithuanian Academic Libraries Network (LABT) 2010
Subjects:
Mathematics
Algebraic irrational number
Lerch zeta-function
Limit theorem
Probability measure
Weak convergence
Algebrinis iracionalusis skaičius
Lercho dzeta funkcija
Ribinė teorema
Tikimybinis matas
Silpnasis konvergavimas
Online Access:http://vddb.laba.lt/fedora/get/LT-eLABa-0001:E.02~2009~D_20100204_102902-68601/DS.005.1.01.ETD

Internet

http://vddb.laba.lt/fedora/get/LT-eLABa-0001:E.02~2009~D_20100204_102902-68601/DS.005.1.01.ETD

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