A proof of the Kac-Wakimoto affine denominator formula for the strange series.
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Publication:5929462
DOI10.4310/MRL.2000.v7.n5.a5zbMath1125.11319OpenAlexW2003600825MaRDI QIDQ5929462
Publication date: 2000
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/mrl.2000.v7.n5.a5
Relationship to Lie algebras and finite simple groups (11F22) Simple, semisimple, reductive (super)algebras (17B20)
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Families of multisums as mock theta functions ⋮ Asymptotics of instability zones of Hill operators with a two term potential ⋮ Some characters of Kac and Wakimoto and nonholomorphic modular functions ⋮ Asymptotics of instability zones of the Hill operator with a two term potential ⋮ Sums of triangular numbers from the Frobenius determinant ⋮ Schur \(Q\)-polynomials, multiple hypergeometric series and enumeration of marked shifted tableaux ⋮ On a conjecture for representations of integers as sums of squares and double shuffle relations ⋮ Denominator identities for the periplectic Lie superalgebra ⋮ Elliptic pfaffians and solvable lattice models ⋮ A SHORT PROOF OF MILNE'S FORMULAS FOR SUMS OF INTEGER SQUARES ⋮ On the representation of integers as sums of an odd number of squares ⋮ Representations of integers as sums of squares ⋮ Kac-Wakimoto characters and universal mock theta functions ⋮ SUMS OF SQUARES FROM ELLIPTIC PFAFFIANS ⋮ Representations of integers as sums of an even number of squares ⋮ Partition identities and a theorem of Zagier
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