Double shuffle relations of double zeta values and the double Eisenstein series at levelN

DOI10.1112/jlms/jdv042zbMath1391.11107arXiv1401.6699OpenAlexW1480120017MaRDI QIDQ3458294

Haiping Yuan, Jianqiang Zhao

Publication date: 18 December 2015

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6699

zbMATH Keywords

double shuffle relationsdouble zeta valuesdouble Eisenstein series

Mathematics Subject Classification ID

Trees (05C05) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Linear equations (linear algebraic aspects) (15A06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (5)

Bachmann-Kühn's brackets and multiple zeta values at level \(N\) ⋮ Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values ⋮ Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables ⋮ THE DOUBLE SHUFFLE RELATIONS FOR MULTIPLE EISENSTEIN SERIES ⋮ Variants of multiple zeta values with even and odd summation indices

Cites Work

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• Double zeta values, double Eisenstein series, and modular forms of level 2
• Period polynomial relations between double zeta values
• Remarks on double zeta values of level 2
• On multiple \(L\)-values
• Derivation and double shuffle relations for multiple zeta values

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