Re: Question regarding eigenforms

[Aurel Page <aurel.page@normalesup.org>]

    Dear Swati,
    
    You can recursively obtain all the eigenforms by using the newforms
    of lower level and the mfbd operator.
    
    However, you are pointing at a problem: the documentation of
    mfeigenbasis does not say that it only computes the newforms, it
    says "eigenforms". We should probably either fix the doc or
    implement eigenforms for other spaces than the newspace.
    
    Cheers,
    Aurel

On 13/11/2024 23:03, LNU, Swati wrote:

Hello,

Given any space M_{k}(N, \chi) for large k and N, is there a way to determine using PARI/GP  the basis of normalized Hecke eigenforms (explicitly) for the entire space? I know mfeigenbasis() just determines the basis for the newspace.

Thanks,

Swati

"The pursuit of science is at its best when it is a part of a way of life" - Alladi Ramakrishnan.