On Generalized Modular forms and their Applications

DOI10.1017/S0027763000026003zbMath1223.11051OpenAlexW1572097199MaRDI QIDQ5302845

Winfried Kohnen, Geoffrey Mason

Publication date: 13 January 2009

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1229955908

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (17)

On the Fourier coefficients of 2-dimensional vector-valued modular forms ⋮ Finiteness of irreducible holomorphic eta quotients of a given level ⋮ A short note on sign changes ⋮ Eisenstein series twisted with non-expanding cusp monodromies ⋮ On the critical points of modular forms ⋮ On generalized modular forms supported on cuspidal and elliptic points ⋮ On certain generalized modular forms ⋮ On the canonical decomposition of generalized modular functions ⋮ Modular differential equations for characters of RCFT ⋮ ON THE EXISTENCE OF VECTOR-VALUED AUTOMORPHIC FORMS ⋮ Remarks on \(q\)-exponents of generalized modular functions ⋮ Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy ⋮ On sign changes of \(q\)-exponents of generalized modular functions ⋮ Hypergeometric series, modular linear differential equations and vector-valued modular forms ⋮ Generalized reciprocal identities ⋮ PARABOLIC GENERALIZED MODULAR FORMS AND THEIR CHARACTERS ⋮ Generalized modular forms with a cuspidal divisor

Cites Work

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• Modular invariance of characters of vertex operator algebras
• On axiomatic approaches to vertex operator algebras and modules
• Multiplicative 𝜂-quotients
• Monstrous moonshine of higher weight
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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