#4062: [with patch, needs review] Problems with Eisenstein series code?
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 Reporter:  craigcitro     |        Owner:  craigcitro
     Type:  defect         |       Status:  assigned  
 Priority:  major          |    Milestone:  sage-3.2  
Component:  modular forms  |   Resolution:            
 Keywords:                 |  
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Comment (by was):

 Further remarks from craig:
 {{{
 I posted a fix for the Eisenstein series bug that was reported a
 little bit ago. (Kevin, I'm cc'ing you because William said he
 mentioned this bug to you, too.) The original poster was right: his
 snippet of code takes a character chi, asks for a weight two
 Eisenstein series f in M_k(Gamma_1(N), chi), and then asks for
 f.character() -- and Sage says that it isn't chi! So that was the bug.
 The fix he starts detailing in his original post is completely the
 wrong direction -- he's somehow trying to correct the series to match
 the character that's getting returned. He later realized that the
 right fix was actually to change the character returned.
 }}}

 and from Kevin:
 {{{
 The only comment I had about the report was that it sounded to me that the
 poster had perhaps misunderstood the port of the theorem in Miyake to Sage
 ---he seemed to be saying "this character should be replaced by its
 conjugate in several places", not realising that the notation in the sage
 code was that the character in the code sounded to me like it was by
 definition the conjugate of the character in Miyake.
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4062#comment:2>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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