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Matematicheskie Zametki, 2003, Volume 74, Issue 4, Pages 494–501
DOI: https://doi.org/10.4213/mzm284 (Mi mzm284) 		 
This article is cited in 6 scientific papers (total in 6 papers)

An Approximate Functional Equation for the Lerch Zeta Function

R. Garunkstisa, A. P. Laurincikasa, J. Steuding

a Vilnius University
Full-text PDF (204 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm284
Abstract: In this paper, we establish an approximate functional equation for the Lerch zeta function, which is a generalization of the Riemann zeta function and the Hurwitz zeta function.
Received: 30.10.2000
English version:
Mathematical Notes, 2003, Volume 74, Issue 4, Pages 469–476
DOI: https://doi.org/10.1023/A:1026183524830
Bibliographic databases:
UDC: 511
Language: Russian
Citation: R. Garunkstis, A. P. Laurincikas, J. Steuding, “An Approximate Functional Equation for the Lerch Zeta Function”, Mat. Zametki, 74:4 (2003), 494–501; Math. Notes, 74:4 (2003), 469–476
Citation in format AMSBIB
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\pages 494--501
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  • https://www.mathnet.ru/eng/mzm284
  • https://doi.org/10.4213/mzm284
  • https://www.mathnet.ru/eng/mzm/v74/i4/p494
    • This publication is cited in the following 6 articles:
    1. Antanas Laurinčikas, Darius Šiaučiūnas, “The Mean Square of the Hurwitz Zeta-Function in Short Intervals”, Axioms, 13:8 (2024), 510  crossref
    2. Emanuel Guariglia, “Fractional Calculus of the Lerch Zeta Function”, Mediterr. J. Math., 19:3 (2022)  crossref
    3. Athanassios Fokas, Jonatan Lenells, “On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function”, Memoirs of the AMS, 275:1351 (2022)  crossref
    4. Miyagawa T., “Approximate Functional Equation and Upper Bounds For the Barnes Double Zeta-Function”, JP J. Algebr. Number Theory Appl., 43:2 (2019), 155–183  crossref  isi
    5. Ramūnas Garunkštis, Justas Kalpokas, “Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function”, Analysis, 28:2 (2008)  crossref
    6. Laurincikas, A, “On the fourth power moment of the function zeta(lambda)(s)”, Integral Transforms and Special Functions, 18:9 (2007), 629  crossref  mathscinet  zmath  isi  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:58
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