Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Moscow Mathematical Journal, 2022, Volume 22, Number 4, Pages 741–757
DOI: https://doi.org/10.17323/1609-4514-2022-22-4-741-757 (Mi mmj842) 		 
On the $a$-points of symmetric sum of multiple zeta function

Hideki Muraharaa, Tomokazu Onozukab

a Nakamura Gakuen University Graduate School, 5-7-1, Befu, Jonan-ku, Fukuoka, 814-0198, Japan
b Multiple Zeta Research Center, Kyushu University 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan
Full-text PDF
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2022-22-4-741-757
URL: https://www.mathjournals.org/mmj/2022-022-004/2022-022-004-006.html
Abstract: In this paper, we present some results on the $a$-points of the symmetric sum of the Euler–Zagier multiple zeta function. Our first three results are for the $a$-points free region of the function. The fourth result is the Riemann–von Mangoldt type formula. In the last two results, we study the real parts of $a$-points of the function.
Key words and phrases: multiple zeta function, the Riemann zeta function, the Riemann–von Mangoldt formula, $a$-point.
Document Type: Article
MSC: 11M32
Language: English
Citation: Hideki Murahara, Tomokazu Onozuka, “On the $a$-points of symmetric sum of multiple zeta function”, Mosc. Math. J., 22:4 (2022), 741–757
Citation in format AMSBIB
\Bibitem{MurOno22}
\by Hideki~Murahara, Tomokazu~Onozuka
\paper On the $a$-points of symmetric sum of multiple zeta~function
\jour Mosc. Math.~J.
\yr 2022
\vol 22
\issue 4
\pages 741--757
\mathnet{http://mi.mathnet.ru/mmj842}
\crossref{https://doi.org/10.17323/1609-4514-2022-22-4-741-757}
Linking options:
  • https://www.mathnet.ru/eng/mmj842
  • https://www.mathnet.ru/eng/mmj/v22/i4/p741
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025