Re: [sage-devel] Fwd: Cohen's dihedral Maass waveform

[John Cremona]

Try Andy Booker at Bristol -- I don't remember which language he and
his students are using.

You didn't give Norm Hurt's email, so please forward this to him.

I am CC-ing sage-nt as perhaps a better place for the thread.

John

2009/9/28 David Joyner <w...@usna.edu>:
> I am forwarding this to sage-devel at the authors
> request. Does anyone on this list know of someone working
> on Maass waveforms in Sage? If so, please cc Norm
> Hurt as I think he is not a member of this group.
>
> >
>
> Dear Prof. Joyner, I finally described what I believe is a better understanding of Cohen’s Maass waveform. I would greatly appreciate any comments you might have on it. I have seen some brief notes about someone writing SAGE code to generate Hecke eigenvalues for Maass waveforms, I presume this is Stroemberg. I believe the algebraic approach is very direct in the dihedral case. For D_3 cases you basically have a version of Wilton’s theorem which describes the eigenvalues. E.g. in the case N=229, one would use f(x) = x^3-4*x+1 to described the Hecke eigenvalues of the Maass waveform which Stroemberg worked out using Hejhal like numerical methods. My note on Cohen’s waveform is implicitly an extension of this to the D_4 case. If you know who is working on the SAGE code, I would be interested in corresponding with them.
>
>
>
> Sincerely,
>
>
>
> Norm Hurt
>