Borcherds products associated with certain Thompson series

DOI10.1112/S0010437X03000770zbMath1059.11034arXivmath/0203076OpenAlexW2099138475MaRDI QIDQ4831287

Chang Heon Kim

Publication date: 29 December 2004

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203076

zbMATH Keywords

quadratic formsHurwitz class number

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Jacobi forms (11F50)

Related Items (16)

Computation of Harmonic Weak Maass Forms ⋮ Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series ⋮ On values of weakly holomorphic modular functions at divisors of meromorphic modular forms ⋮ PARITY OF THE PARTITION FUNCTION AND TRACES OF SINGULAR MODULI ⋮ Some remarks on Hurwitz-Kronecker class numbers and traces of singular moduli ⋮ Basis for the space of weakly holomorphic modular forms in higher level cases ⋮ A note on traces of singular moduli ⋮ The Fourier coefficients of the McKay-Thompson series and the traces of CM values ⋮ Perspectives on mock modular forms ⋮ Exact formulas for traces of singular moduli of higher level modular functions ⋮ Congruences for traces of singular moduli ⋮ The generating function for traces of singular moduli and an application to Borcherds products ⋮ Traces of CM values of modular functions ⋮ Twisted traces of singular values ⋮ Rational period functions and cycle integrals in higher level cases ⋮ On a conjecture of Koike on identities between Thompson series and Rogers-Ramanujan functions

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