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On the linear relations among parametrized multiple series

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Publication:2696322
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DOI10.1007/s11139-022-00658-1OpenAlexW4308493785MaRDI QIDQ2696322

Minoru Hirose, Tomokazu Onozuka, Hideki Murahara

Publication date: 11 April 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12975


zbMATH Keywords

multiple zeta valuesparametrized multiple seriesKawashima relation


Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32)




Cites Work

  • Unnamed Item
  • The algebra of Hurwitz multizeta functions
  • Cyclic sum of certain parametrized multiple series
  • On an algebraic version of the Knizhnik-Zamolodchikov equation
  • A generalization of Ohno's relation for multiple zeta values
  • A generalized regularization theorem and Kawashima's relation for multiple zeta values
  • A class of relations among multiple zeta values
  • A generalization of the duality and sum formulas on the multiple zeta values
  • Relations of multiple zeta values and their algebraic expression.
  • An algebraic proof of the cyclic sum formula for multiple zeta values
  • QUASI-SYMMETRIC FUNCTIONS AND MOD <b><i>p </i></b>MULTIPLE HARMONIC SUMS


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