ON EXTREMAL QUASI-MODULAR FORMS AFTER KANEKO AND KOIKE

DOI10.2206/kyushujm.74.401zbMath1470.11075arXiv1910.11668OpenAlexW3111333557MaRDI QIDQ4995442

Federico Pellarin, Gabriele Nebe

Publication date: 24 June 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11668

zbMATH Keywords

multiplicity estimatesextremal quasimodular formsLeech lattice and automorphisms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Automorphism groups of lattices (11H56)

Related Items (3)

Modular ordinary differential equations on \(\mathrm{SL}(2,\mathbb{Z})\) of third order and applications ⋮ Asymptotic expansions for the coefficients of extremal quasimodular forms and a conjecture of Kaneko and Koike ⋮ EXTREMAL QUASIMODULAR FORMS OF LOWER DEPTH WITH INTEGRAL FOURIER COEFFICIENTS

Uses Software

• Magma

Cites Work

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• On the integrality of \(n\)th roots of generating functions
• The Magma algebra system. I: The user language
• On modular forms arising from a differential equation of hypergeometric type
• ON EXTREMAL QUASIMODULAR FORMS
• CONGRUENCES BETWEEN EXTREMAL MODULAR FORMS AND THETA SERIES OF SPECIAL TYPES MODULO POWERS OF 2 AND 3

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