#15737: Problem in an_padic
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Reporter: wuthrich | Owner:
Type: defect | Status: needs_work
Priority: major | Milestone: sage-6.2
Component: elliptic curves | Resolution:
Keywords: padic l-functions | Merged in:
Authors: Chris Wuthrich | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/wuthrich/ticket/15737 | afe228dbcd688562d4aed0872376af918f67c023
Dependencies: | Stopgaps:
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Changes (by wuthrich):
* status: needs_review => needs_work
Comment:
The constant term of the p-adic L-function is a multiple of
m(0)=L(E,1)/Omega where m is the modular symbol attached to E. Whatever n
is, the constant term is always correct (up to the precision with which
alpha was computed). So in some sense no-one should want to compute the
constant term with a p-adic L-function as one can do it without.
But I think prec=1 could be a acceptable entry and then we should return
just the constant term (as a powerseries with O(T) ) but avoiding all
summation computations. Then I can go back to sha and leave it as it was.
That would be a better solution, not only fixing the bug, but also
improving the code.
I will try to do this over the next days.
--
Ticket URL: <http://trac.sagemath.org/ticket/15737#comment:6>
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