Double zeta values, double Eisenstein series, and modular forms of level 2

DOI10.1007/s00208-013-0930-5zbMath1327.11059arXiv1112.5697OpenAlexW2095805779MaRDI QIDQ378827

Masanobu Kaneko, Koji Tasaka

Publication date: 12 November 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5697

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Representation problems (11D85) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (16)

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 ⋮ On a conjecture for representations of integers as sums of squares and double shuffle relations ⋮ Zeta functions connecting multiple zeta values and poly-Bernoulli numbers ⋮ Motivic multiple zeta values relative to \(\mu_2\) ⋮ A study on multiple zeta values from the viewpoint of zeta-functions of root systems ⋮ Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values ⋮ Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables ⋮ Remarks on double zeta values of level 2 ⋮ Modular forms and \(q\)-analogues of modified double zeta values ⋮ Hecke eigenform and double Eisenstein series ⋮ On multiple zeta values of level two ⋮ Relationships between multiple zeta values of depths 2 and 3 and period polynomials ⋮ Alternating multizeta values in positive characteristic ⋮ THE DOUBLE SHUFFLE RELATIONS FOR MULTIPLE EISENSTEIN SERIES ⋮ A two-variable Dirichlet series and its applications

Cites Work

• Period polynomial relations between double zeta values
• Mixed Tate motives over \(\mathbb{Z}\)
• Multiple zeta values and zeta-functions of root systems
• On multiple \(L\)-values
• On a conjecture for representations of integers as sums of squares and double shuffle relations
• Representations of integers as sums of an even number of squares
• On the decomposition of motivic multiple zeta values
• Period polynomials and explicit formulas for Hecke operators on Γ₀(2)
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