#12043: Hecke series for overconvergent modular forms
----------------------------------+-----------------------------------------
       Reporter:  lauder          |         Owner:  craigcitro    
           Type:  enhancement     |        Status:  needs_review  
       Priority:  minor           |     Milestone:  sage-5.0      
      Component:  modular forms   |    Resolution:                
       Keywords:                  |   Work issues:                
Report Upstream:  N/A             |     Reviewers:  David Loeffler
        Authors:  Alan Lauder     |     Merged in:                
   Dependencies:  #12724, #12740  |      Stopgaps:                
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Changes (by davidloeffler):

  * status:  needs_work => needs_review
  * dependencies:  => #12724, #12740


Comment:

 I've uploaded a new revised version, in two forms:
 [attachment:trac_12043-part4.patch] is the difference from the previous
 version, and [attachment:trac_12043-all.patch] is a single patch combining
 the effects of the four patches so far.

 This version is dependent on two new tickets #12724 and #12740. The first
 of these (already positively reviewed, thanks Alex!) adds options for
 different normalizations to the top-level Eisenstein series function,
 incorporating the functionality from the {{{ eisen_series }}} function in
 Alan's original patch. The second is a complete overhaul of the
 !ModularFormsRing code, which means (among other things) that it can now
 be required to return generators for the mod p modular forms; this removes
 a possible cause of the algorithm failing to terminate (if one of the
 generators returned by !ModularFormsRing happened to be divisible by p,
 which could easily have happened with the old code). I've also applied a
 number of optimizations, particularly for level 1 modular forms, as
 described in my last few comments.

 I think this is ready to go now. All that's required is for someone to
 have a look at my part4 patch and verify that the changes look reasonable.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12043#comment:18>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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