Matrix representations for multiplicative nested sums

DOI10.4064/cm7481-10-2018zbMath1445.11092arXiv1611.02425OpenAlexW2966241274MaRDI QIDQ5207295

Lin Jiu, Diane Yahui Shi

Publication date: 19 December 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02425

zbMATH Keywords

combinatorial identityrandom walkmultiple zeta functionharmonic sum

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Relations with random matrices (11M50) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• Algebraic relations between harmonic sums and associated quantities.
• Multiple harmonic series
• On some \(q\)-identities related to divisor functions
• Some \(q\)-series identities related to divisor functions
• Quasi-shuffle products
• Harmonic sums and polylogarithms at non-positive multi-indices
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