Jacobi forms, finite quadratic modules and Weil representations over number fields

DOI10.1007/978-3-319-12916-7zbMath1317.11002OpenAlexW586525648MaRDI QIDQ478807

Hatice Boylan

Publication date: 4 December 2014

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12916-7

zbMATH Keywords

Jacobi formsHilbert modular formsWeil representationpositive definite lattice

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Theta series; Weil representation; theta correspondences (11F27) Jacobi forms (11F50) Totally real fields (11R80)

Related Items (14)

Algebraicity of special \(L\)-values attached to Siegel-Jacobi modular forms ⋮ \(\Lambda\)-adic families of Jacobi forms ⋮ Taylor expansions of Jacobi forms and linear relations among theta series ⋮ Non-vanishing of theta components of Jacobi forms with level and an application ⋮ Finite quadratic modules and lattices ⋮ Jacobi-Eisenstein series over number fields ⋮ Computing Jacobi forms ⋮ Jacobi forms of indefinite lattice index ⋮ State counting on fibered CY 3-folds and the non-abelian weak gravity conjecture ⋮ A Gross-Kohnen-Zagier theorem for non-split Cartan curves ⋮ Poincaré and Eisenstein series for Jacobi forms of lattice index ⋮ Dimension formulas and kernel functions for Hilbert modular forms ⋮ Hecke operators on vector-valued modular forms ⋮ The Bloch-Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms

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