Discrete limit theorems for Estermann zeta-functions.~I
Algebra and discrete mathematics, no. 4 (2007), pp. 84-101
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A discrete limit theorem in the sense of weak convergence of probability measures on the complex plane for the Estermann zeta-function is obtained. The explicit form of the limit measure in this theorem is given.
Keywords:
compact topological group, Estermann zeta-function, Haar measure, probability measure, limit theorem, weak convergence.
@article{ADM_2007_4_a7,
author = {Antanas Laurin\v{c}ikas and Renata Macaitien\.{e}},
title = {Discrete limit theorems for {Estermann} {zeta-functions.~I}},
journal = {Algebra and discrete mathematics},
pages = {84--101},
publisher = {mathdoc},
number = {4},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2007_4_a7/}
}
Antanas Laurinčikas; Renata Macaitienė. Discrete limit theorems for Estermann zeta-functions.~I. Algebra and discrete mathematics, no. 4 (2007), pp. 84-101. http://geodesic.mathdoc.fr/item/ADM_2007_4_a7/