Classical and Umbral Moonshine: Connections and $p$-adic Properties

zbMath1425.11072arXiv1403.3712MaRDI QIDQ4972438

Sarah Trebat-Leder, Larry Rolen, Ken Ono

Publication date: 25 November 2019

Full work available at URL: https://arxiv.org/abs/1403.3712

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Forms of half-integer weight; nonholomorphic modular forms (11F37) (p)-adic theory, local fields (11F85)

Related Items (9)

Derived equivalences of K3 surfaces and twined elliptic genera ⋮ A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ Moonshine ⋮ Mock modular Mathieu moonshine modules ⋮ Landau-Ginzburg orbifolds and symmetries of \(K3\) CFTs ⋮ Modular products and modules for finite groups ⋮ Perspectives on mock modular forms ⋮ From the Monster to Thompson to O’Nan ⋮ Optimal mock Jacobi theta functions

Cites Work

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• Umbral moonshine and the Niemeier lattices
• Much ado about Mathieu
• The McKay-Thompson series of Mathieu moonshine modulo two
• Congruences for the Fourier coefficients of the Mathieu mock theta function
• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Cycle integrals of the \(j\)-function and mock modular forms
• Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series
• Parity of the partition function
• Heegner points and derivatives of \(L\)-series. II
• Automorphic forms with singularities on Grassmannians
• Monstrous moonshine and monstrous Lie superalgebras
• Mathieu twining characters for \(K3\)
• Mathieu moonshine in the elliptic genus of K3
• On modular forms of half integral weight
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• Vertex algebras, Kac-Moody algebras, and the Monster
• Monstrous Moonshine
• Finite Groups and Modular Functions
• Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function
• Notes on the K3 Surface and the Mathieu GroupM₂₄
• Traces of CM values of modular functions

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