On a conjecture for representations of integers as sums of squares and double shuffle relations

DOI10.1007/s11139-013-9513-zzbMath1392.11021arXiv1112.5696OpenAlexW2123793215WikidataQ123134109 ScholiaQ123134109MaRDI QIDQ2441310

Koji Tasaka

Publication date: 24 March 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5696

zbMATH Keywords

sums of squaresEisenstein seriesdouble shuffle relationsdouble Eisenstein series

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Representation problems (11D85) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (3)

Double zeta values, double Eisenstein series, and modular forms of level 2 ⋮ Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables ⋮ THE DOUBLE SHUFFLE RELATIONS FOR MULTIPLE EISENSTEIN SERIES

Cites Work

• Double zeta values, double Eisenstein series, and modular forms of level 2
• A basis for \(S_k(\Gamma_0(4))\) and representations of integers as sums of squares
• Representations of integers as sums of squares
• Sums of triangular numbers from the Frobenius determinant
• Representations of integers as sums of 32 squares
• Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions
• Representations of integers as sums of an even number of squares
• RECENT PROGRESS IN THE STUDY OF REPRESENTATIONS OF INTEGERS AS SUMS OF SQUARES
• SUMS OF SQUARES FROM ELLIPTIC PFAFFIANS
• New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function
• Derivation and double shuffle relations for multiple zeta values
• A proof of the Kac-Wakimoto affine denominator formula for the strange series.
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