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Sbornik: Mathematics, 2014, Volume 205, Issue 11, Pages 1599–1619
DOI: https://doi.org/10.1070/SM2014v205n11ABEH004430 (Mi sm8371) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Joint discrete universality of Hurwitz zeta functions

A. Laurinčikas

Vilnius University
English version PDF (522 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2014v205n11ABEH004430
Abstract: We obtain a joint discrete universality theorem for Hurwitz zeta functions. Here the parameters of zeta functions and the step of shifts of these functions approximating a given family of analytic functions are connected by some condition of linear independence. Nesterenko's theorem gives an example satisfying this condition. The universality theorem is applied to estimate the number of zeros of a linear combination of Hurwitz zeta functions.
Bibliography: 20 titles.
Keywords: algebraic independence, Hurwitz zeta function, linear independence, limit theorem, space of analytic functions, joint universality.
Received: 31.03.2014 and 27.06.2014
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 11, Pages 75–94
DOI: https://doi.org/10.4213/sm8371
Bibliographic databases:
Document Type: Article
UDC: 511.331
MSC: 11M35
Language: English
Original paper language: Russian
Citation: A. Laurinčikas, “Joint discrete universality of Hurwitz zeta functions”, Mat. Sb., 205:11 (2014), 75–94; Sb. Math., 205:11 (2014), 1599–1619
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v205/i11/p75
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:534
    Russian version PDF:145
    English version PDF:8
    References:40
    First page:24
     
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