Computing genus $1$ Jacobi forms

DOI10.1090/mcom/2992zbMath1402.11069arXiv1212.1834OpenAlexW1506599902MaRDI QIDQ2792350

Martin Westerholt-Raum

Publication date: 9 March 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1834

zbMATH Keywords

Hecke operatorsspecial divisorsFourier expansions of vector valued modular forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30) Arithmetic aspects of modular and Shimura varieties (11G18) Jacobi forms (11F50)

Related Items (6)

Poincaré square series for the Weil representation ⋮ A construction of antisymmetric modular forms for Weil representations ⋮ Products of vector valued Eisenstein series ⋮ Computing genus $1$ Jacobi forms ⋮ A Gross-Kohnen-Zagier theorem for non-split Cartan curves ⋮ Hecke operators on vector-valued modular forms

Uses Software

• PARI/GP
• SageMath
• fpLLL

Cites Work

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