MONSTROUS MOONSHINE: THE FIRST TWENTY-FIVE YEARS

DOI10.1112/S0024609305018217zbMath1100.11016arXivmath/0402345OpenAlexW2165235282WikidataQ56429237 ScholiaQ56429237MaRDI QIDQ3377364

Terry Gannon

Publication date: 22 March 2006

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402345

zbMATH Keywords

modular functionsmonster

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relationship to Lie algebras and finite simple groups (11F22) Vertex operators; vertex operator algebras and related structures (17B69) Research exposition (monographs, survey articles) pertaining to number theory (11-02)

Related Items (17)

Zoology of atlas-groups: dessins d'enfants, finite geometries and quantum commutation ⋮ Proof of the umbral moonshine conjecture ⋮ Moonshine ⋮ Character relations and replication identities in 2d conformal field theory ⋮ Effective bounds for Fourier coefficients of certain weakly holomorphic modular forms ⋮ The Hecke system of harmonic Maass functions and applications to modular curves of higher genera ⋮ The Jack Daniels problem ⋮ Replicable functions arising from code-lattice VOAs fixed by automorphisms ⋮ A moonshine dialogue in mathematical physics ⋮ Certain aspects of holomorphic function theory on some genus-zero arithmetic groups ⋮ Lie Algebras, Vertex Algebras, and Automorphic Forms ⋮ Perspectives on mock modular forms ⋮ On uniformization of Burnside’s curve y2=x5−x ⋮ From the Monster to Thompson to O’Nan ⋮ Kronecker’s Limit Formula, Holomorphic Modular Functions, andq-Expansions on Certain Arithmetic Groups ⋮ ON THE DISTRIBUTION OF ZEROS OF THE DERIVATIVE OF SELBERG’S ZETA FUNCTION ASSOCIATED TO FINITE VOLUME RIEMANN SURFACES ⋮ Ramanujan-style congruences for prime level

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