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Matematicheskie Zametki, 2008, Volume 84, Issue 6, Pages 825–837
DOI: https://doi.org/10.4213/mzm4024 (Mi mzm4024) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Relations for Multiple Zeta Values

S. A. Zlobin

ABBYY
Full-text PDF (452 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm4024
Abstract: We prove new relations for multiple zeta values. In particular, they imply Vasilev's equality and a formula for the summation of multiple zeta values of fixed weight with a constraint on the first coordinate.
Keywords: zeta function, multiple zeta values, Fubini's theorem, stuffle product (harmonic product) of zeta values, generating function.
Received: 17.07.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 6, Pages 771–782
DOI: https://doi.org/10.1134/S0001434608110217
Bibliographic databases:
UDC: 511.3+517.5
Language: Russian
Citation: S. A. Zlobin, “Relations for Multiple Zeta Values”, Mat. Zametki, 84:6 (2008), 825–837; Math. Notes, 84:6 (2008), 771–782
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm4024
  • https://doi.org/10.4213/mzm4024
  • https://www.mathnet.ru/eng/mzm/v84/i6/p825
    • This publication is cited in the following 2 articles:
    1. Kentaro Ihara, Yayoi Nakamura, Shuji Yamamoto, “Interpolant of truncated multiple zeta functions”, Ramanujan J, 67:1 (2025)  crossref
    2. Nakasuji M., Phuksuwan O., Yamasaki Y., “On Schur Multiple Zeta Functions: a Combinatoric Generalization of Multiple Zeta Functions”, Adv. Math., 333 (2018), 570–619  crossref  mathscinet  zmath  isi  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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