Title |
Diskrečioji ribinė teorema Epšteino dzeta funkcijai |
Translation of Title |
Discrete limit theorem for the Epstein zeta-function. |
Authors |
Gutauskienė, Birutė ; Macaitienė, Renata |
DOI |
10.15388/JMD.2025.55.2 |
Full Text |
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Is Part of |
Jaunųjų mokslininkų darbai.. Vilnius : Vilniaus universiteto leidykla. 2025, t. 55, p. 18-25.. ISSN 1648-8776. eISSN 2424-3345 |
Keywords [eng] |
limit theorem ; weak convergence ; probability measure ; Haar measure |
Abstract [eng] |
In this paper, the value distribution of the Epstein zeta-function ζ(s; Q) is investigated. It is well known that the asymptotic behaviour of zeta-functions is most effectively defined by probabilistic limit theorems in the sense of weak convergence. A limit theorem of continuous type for the function ζ(s; Q) on the complex plane has been obtained by Laurinčikas and Macaitienė [11]. This paper presents a discrete-type result, based on the Master’s Thesis [8] by Gutauskienė. |
Published |
Vilnius : Vilniaus universiteto leidykla |
Type |
Journal article |
Language |
Lithuanian |
Publication date |
2025 |
CC license |
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