On divisors of modular forms

DOI10.1016/j.aim.2018.02.001zbMath1447.11056arXiv1609.08100OpenAlexW2963172868MaRDI QIDQ1744554

Ben Kane, Larry Rolen, Kathrin Bringmann, Ken Ono, Steffen Löbrich

Publication date: 23 April 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08100

zbMATH Keywords

polar harmonic Maass formsdenominator formuladivisors of modular forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30)

Related Items (16)

Niebur-Poincaré series and traces of singular moduli ⋮ On values of weakly holomorphic modular functions at divisors of meromorphic modular forms ⋮ The Hecke system of harmonic Maass functions and applications to modular curves of higher genera ⋮ On the generating function of a canonical basis for \(M_{0}^{!,\infty }(\Gamma)\) ⋮ Hecke equivariance of generalized Borcherds products of type \(O(2,1)\) ⋮ Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms ⋮ A hyperbolic analogue of the Rademacher symbol ⋮ On Kleinian mock modular forms ⋮ On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras ⋮ Corrigendum to: ``On divisors of modular forms ⋮ Modular Cauchy kernel corresponding to the Hecke curve ⋮ Values of harmonic weak Maass forms on Hecke orbits ⋮ An algorithm for numerically inverting the modular \(j\)-function ⋮ Divisibility properties of the Fourier coefficients of (mock) modular functions and Ramanujan ⋮ Generalized \(L\)-functions for meromorphic modular forms and their relation to the Riemann zeta function ⋮ Eisenstein series of even weight 𝑘≥2 and integral binary quadratic forms

Cites Work

• Moonshine
• Rademacher sums, moonshine and gravity
• Ramanujan and coefficients of meromorphic modular forms
• An algorithm for numerically inverting the modular \(j\)-function
• A problem of Petersson about weight 0 meromorphic modular forms
• Critical and ramification points of the modular parametrization of an elliptic curve
• Generalized moonshine. II: Borcherds products
• Poincaré series and the divisors of modular forms
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• A class of nonanalytic automorphic functions
• The arithmetic of the values of modular functions and the divisors of modular forms
• On Modular Forms of Dimension -2
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