#10686: speed up computation of T_p in characteristic p
-----------------------------+----------------------------------------------
Reporter: AlexGhitza | Owner: craigcitro
Type: enhancement | Status: needs_work
Priority: minor | Milestone: sage-4.6.2
Component: modular forms | Keywords: hecke operator q-expansion
Author: Alex Ghitza | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
-----------------------------+----------------------------------------------
Changes (by davidloeffler):
* status: needs_review => needs_work
Comment:
I think there's still an error for the case of non-field base rings. Sage
defines the "characteristic" of {{{Zmod(N)}}} to be N, which leads to
problems modulo prime powers:
{{{
#!python
sage: E = 240*eisenstein_series_qexp(2, 1000)
sage: hecke_operator_on_qexp(E.change_ring(Zmod(49)), 49, 2) -
hecke_operator_on_qexp(E, 49, 2).change_ring(Zmod(49))
21 + 35*q^7 + 7*q^14 + O(q^21)
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10686#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
