Effective bounds for Fourier coefficients of certain weakly holomorphic modular forms

DOI10.1016/j.jnt.2018.03.019zbMath1444.11072OpenAlexW2799311482WikidataQ129968353 ScholiaQ129968353MaRDI QIDQ1651988

Daniel Garbin

Publication date: 11 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.03.019

zbMATH Keywords

partition functionautomorphic formsmodular formsFourier coefficientsholomorphic Eisenstein seriesmoonshine type arithmetic groups

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30)

Related Items (1)

An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative

Cites Work

• Unnamed Item
• Simple upper bounds for partition functions
• The Hauptmodul at elliptic points of certain arithmetic groups
• Kronecker’s Limit Formula, Holomorphic Modular Functions, andq-Expansions on Certain Arithmetic Groups
• Certain aspects of holomorphic function theory on some genus-zero arithmetic groups
• MONSTROUS MOONSHINE: THE FIRST TWENTY-FIVE YEARS

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