The algebra of bi-brackets and regularized multiple Eisenstein series

DOI10.1016/j.jnt.2018.12.006zbMath1443.11174arXiv1504.08138OpenAlexW2963893702WikidataQ128591861 ScholiaQ128591861MaRDI QIDQ669227

Henrik Bachmann

Publication date: 20 March 2019

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

Full work available at URL: https://arxiv.org/abs/1504.08138

zbMATH Keywords

modular formsmultiple zeta values\(q\)-analogues of multiple zeta valuesmultiple Eisenstein series

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Other functions defined by series and integrals (33E20) Holomorphic modular forms of integral weight (11F11) Power series rings (13J05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (8)

The algebra of generating functions for multiple divisor sums and applications to multiple zeta values ⋮ Combinatorial multiple Eisenstein series ⋮ Partitions, multiple zeta values and the \(q\)-bracket ⋮ Balanced multiple q-zeta values ⋮ Extensions of MacMahon's sums of divisors ⋮ On certain two-parameter deformations of multiple zeta values ⋮ Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values ⋮ A Dimension Conjecture for q-Analogues of Multiple Zeta Values

Cites Work

• Unnamed Item
• Unnamed Item
• The algebra of generating functions for multiple divisor sums and applications to multiple zeta values
• The algebra of multitangent functions
• Quasi-shuffle products revisited
• A quick combinatorial proof of Eisenstein series identities
• Quasi-shuffle products
• Multiple \(q\)-zeta brackets
• Galois symmetries of fundamental groupoids and noncommutative geometry
• Elliptic Modular Forms and Their Applications
• THE DOUBLE SHUFFLE RELATIONS FOR MULTIPLE EISENSTEIN SERIES
• UNFOLDING THE DOUBLE SHUFFLE STRUCTURE OF -MULTIPLE ZETA VALUES
• Derivation and double shuffle relations for multiple zeta values

This page was built for publication: The algebra of bi-brackets and regularized multiple Eisenstein series