Re: Question regarding Shimura lift

["LNU, Swati" <S10@email.sc.edu>]

Hello,

Yes, I am looking for revere of it.

Thanks,

Swati 

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From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Sent: Sunday, September 1, 2024 3:04:47 AM
To: pari-users@pari.math.u-bordeaux.fr <pari-users@pari.math.u-bordeaux.fr>
Subject: Re: Question regarding Shimura lift

 

On Sat, Aug 31, 2024 at 09:10:47PM +0000, LNU, Swati wrote:
> Hello,
> I wanted to ask that given an integer weight form, say f(z) = \eta(z)
> \eta(2z) \eta(7z) \eta(14z) \in S_{2}(14), is there a way using Pari/gp to
> determine the half integer weight form F(z) such that Shimura lift Sh_{t}
> (F(z)) = f(z) for any square-free t?

Hi!

So you want the reverse of mfshimura ?

Cheers,
Bill.