Remarks on double zeta values of level 2

DOI10.1016/j.jnt.2012.07.005zbMath1310.11092OpenAlexW2003666860MaRDI QIDQ1762288

Takashi Nakamura, Koji Tasaka

Publication date: 23 November 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.07.005

zbMATH Keywords

Euler sumsdouble zeta values

Mathematics Subject Classification ID

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

Related Items (5)

Bachmann-Kühn's brackets and multiple zeta values at level \(N\) ⋮ Double shuffle relations of double zeta values and the double Eisenstein series at levelN ⋮ Integrals of polylogarithmic functions with negative argument ⋮ Alternating double Euler sums, hypergeometric identities and a theorem of Zagier ⋮ On \(p\)-Bernoulli numbers and polynomials

Cites Work

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• Double zeta values, double Eisenstein series, and modular forms of level 2
• Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
• Multiple harmonic series
• On multiple \(L\)-values
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• Signed $q$-analogs of Tornheim's double series
• Knots and Numbers in ϕ⁴ Theory to 7 Loops and Beyond
• Number Theory

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