Add Jacobi theta series to Sage

[4b4c2d84-4c56-4230-8162-6a9982d5ab43]

Jacobi forms are a generalization of modular forms, with a two-variable Fourier expansion. See Eichler-Zagier, The Theory of Jacobi Forms for more details.

This ticket adds a JacobiForms class to Sage and includes an efficient algorithm for computing a Jacobi form (a Jacobi theta series) from a quadratic form on a lattice and a vector in that lattice.

Component: modular forms

Keywords: Jacobi forms

Author: Victoria de Quehen

Branch/Commit: u/chapoton/14244 @ fe1f53a

Issue created by migration from https://trac.sagemath.org/ticket/14244

[4b4c2d84-4c56-4230-8162-6a9982d5ab43]

Attachment: 14244.patch.gz

[fchapoton]

Changed keywords from none to Jacobi forms

[fchapoton]

comment:5

I made a git branch. Obviously needs a lot of work.

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New commits:

40f45a9	jacobi.patch
3e3adf1	trac #14244 tuning, and little code cleanup

[fchapoton]

Branch: u/chapoton/14244

[fchapoton]

Commit: 3e3adf1

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Branch pushed to git repo; I updated commit sha1. New commits:

c584f9b

trac #14244 details

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Changed commit from 3e3adf1 to c584f9b

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Branch pushed to git repo; I updated commit sha1. New commits:

215a637

Merge branch 'u/chapoton/14244' in 7.3.b7

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Changed commit from c584f9b to 215a637

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Branch pushed to git repo; I updated commit sha1. New commits:

57fe245

Merge branch 'u/chapoton/14244' in 7.3.rc0

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Changed commit from 215a637 to 57fe245

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Branch pushed to git repo; I updated commit sha1. New commits:

d2854c6	Merge branch 'u/chapoton/14244' in 8.3.b0
fe1f53a	cysignals and pep8 cleanup

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Changed commit from 57fe245 to fe1f53a