Quasi-modularity of generalized sum-of-divisors functions

DOI10.1007/s40993-015-0019-1zbMath1379.11046arXiv1506.04963OpenAlexW2962861931WikidataQ59401875 ScholiaQ59401875MaRDI QIDQ895744

Simon C. F. Rose

Publication date: 4 December 2015

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

Full work available at URL: https://arxiv.org/abs/1506.04963

zbMATH Keywords

generating functionsJacobi formsdivisor sums

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Jacobi forms (11F50) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (4)

Modular anomaly equation for Schur index of \(\mathcal{N} = 4\) super-Yang-Mills ⋮ Proof of conjecture regarding the level of Rose's generalized sum-of-divisor functions ⋮ Extensions of MacMahon's sums of divisors ⋮ Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values

Cites Work

• Counting hyperelliptic curves on an abelian surface with quasi-modular forms
• The theory of Jacobi forms
• Proof of conjecture regarding the level of Rose's generalized sum-of-divisor functions
• MacMahon's sum-of-divisors functions, Chebyshev polynomials, and quasi-modular forms

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