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Matematicheskie Zametki, 2005, Volume 78, Issue 1, Pages 37–51
DOI: https://doi.org/10.4213/mzm2560 (Mi mzm2560) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Asymptotic Behavior of the Sum of the Dirichlet Series of Prescribed Growth on Curves

A. M. Gaisina, I. D. Latypovb

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Bashkir State University
Full-text PDF (245 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm2560
Abstract: We study the relationship between the growth and decrease of the sum of the entire Dirichlet series of finite order (in the sense of Ritt) on arbitrary curves going to infinity. For a class of exponents having a regular distribution (in a certain sense), we obtain a test for the logarithm of the maximal term to be equivalent to the logarithm of the absolute value of the sum of the Dirichlet series on at least one unbounded sequence of points of the curve.
Received: 16.08.2004
English version:
Mathematical Notes, 2005, Volume 78, Issue 1, Pages 33–46
DOI: https://doi.org/10.1007/s11006-005-0096-x
Bibliographic databases:
UDC: 517.53
Language: Russian
Citation: A. M. Gaisin, I. D. Latypov, “Asymptotic Behavior of the Sum of the Dirichlet Series of Prescribed Growth on Curves”, Mat. Zametki, 78:1 (2005), 37–51; Math. Notes, 78:1 (2005), 33–46
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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