Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2024, Volume 115, Issue 4, paper published in the English version journal (Mi mzm14332)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

Integral Representations of $\mathrm{\zeta}(m)$

Chunli Lia, Wenchang Chub

a School of Mathematics and Statistics, Zhoukou Normal University, P. R. China
b Lecce University, Italy
Citations (1)
Abstract: An open problem about integral representation of $\zeta(2n)$, proposed recently by Pain (2023), is resolved by integration by parts. More general integrals are examined by manipulating the beta integral and digamma function.
Keywords: Riemann zeta function, generating function, beta integral, digamma function.
Received: 28.11.2023
Revised: 13.01.2024
Published: 15.04.2024
English version:
Mathematical Notes, 2024, Volume 115, Issue 4, Pages 569–573
DOI: https://doi.org/10.1134/S0001434624030283
Bibliographic databases:
Document Type: Article
Language: English
Citation: Chunli Li, Wenchang Chu, “Integral Representations of $\mathrm{\zeta}(m)$”, Math. Notes, 115:4 (2024), 569–573
Citation in format AMSBIB
\Bibitem{LiChu24}
\by Chunli~Li, Wenchang Chu
\paper Integral Representations of $\mathrm{\zeta}(m)$
\jour Math. Notes
\yr 2024
\vol 115
\issue 4
\pages 569--573
\mathnet{http://mi.mathnet.ru/mzm14332}
\crossref{https://doi.org/10.1134/S0001434624030283}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4772171}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85197533133}
Linking options:
  • https://www.mathnet.ru/eng/mzm14332
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025