Opened 7 years ago
Last modified 2 years ago
#14244 new enhancement
Add Jacobi theta series to Sage
Reported by:  vic.dequehen  Owned by:  davidloeffler 

Priority:  major  Milestone:  sage6.4 
Component:  modular forms  Keywords:  Jacobi forms 
Cc:  Merged in:  
Authors:  Victoria de Quehen  Reviewers:  
Report Upstream:  N/A  Work issues:  
Branch:  u/chapoton/14244 (Commits)  Commit:  fe1f53aeb737fd063ee7e45c3a226fa76b02e0b8 
Dependencies:  Stopgaps: 
Description
Jacobi forms are a generalization of modular forms, with a twovariable Fourier expansion. See EichlerZagier, 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.
Attachments (1)
Change History (10)
Changed 7 years ago by
comment:1 Changed 7 years ago by
 Milestone changed from sage5.11 to sage5.12
comment:2 Changed 6 years ago by
 Milestone changed from sage6.1 to sage6.2
comment:3 Changed 6 years ago by
 Milestone changed from sage6.2 to sage6.3
comment:4 Changed 6 years ago by
 Milestone changed from sage6.3 to sage6.4
comment:5 Changed 5 years ago by
 Branch set to u/chapoton/14244
 Commit set to 3e3adf1af6be2a465252e5c06797cda68aa0ed70
 Keywords Jacobi forms added
comment:6 Changed 5 years ago by
 Commit changed from 3e3adf1af6be2a465252e5c06797cda68aa0ed70 to c584f9b20c095e6b03050b9d2dbcab7c7404eef7
Branch pushed to git repo; I updated commit sha1. New commits:
c584f9b  trac #14244 details

comment:7 Changed 4 years ago by
 Commit changed from c584f9b20c095e6b03050b9d2dbcab7c7404eef7 to 215a637b0f06247dc9afc20779e7629c30b28678
Branch pushed to git repo; I updated commit sha1. New commits:
215a637  Merge branch 'u/chapoton/14244' in 7.3.b7

comment:8 Changed 4 years ago by
 Commit changed from 215a637b0f06247dc9afc20779e7629c30b28678 to 57fe2453cda4efb73326d737c08bf1d93a5e5503
Branch pushed to git repo; I updated commit sha1. New commits:
57fe245  Merge branch 'u/chapoton/14244' in 7.3.rc0

comment:9 Changed 2 years ago by
 Commit changed from 57fe2453cda4efb73326d737c08bf1d93a5e5503 to fe1f53aeb737fd063ee7e45c3a226fa76b02e0b8
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I made a git branch. Obviously needs a lot of work.
New commits:
jacobi.patch
trac #14244 tuning, and little code cleanup