Re: Regard hecke operators in half integer weight setting

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

Dear Professor,

Thank you for the reply. When I input  k = 5/2 or any half-integral weight, it gives an error and no output is produced. I tried it for 

D(a,n) = {eta(q^5 + O(q^(n+1)));}

S(D(5, 100), 5, 5/2) 

It gives the error message.

Thanks,

Swati

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

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From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Sent: Sunday, September 15, 2024 3:43 AM
To: LNU, Swati <S10@email.sc.edu>
Cc: pari-users@pari.math.u-bordeaux.fr <pari-users@pari.math.u-bordeaux.fr>
Subject: Re: Regard hecke operators in half integer weight setting

 

On Sun, Sep 15, 2024 at 02:45:16AM +0000, LNU, Swati wrote:
> Dear Professor,
> This command itself gives the error.
>
> S(f, p, k) = {f = truncate(f); sum(n = 1, poldegree(f), (polcoeff(f, (n * p^2))) + (kronecker(-4, n)^(k - (1/2)) * kronecker(12 * n,p) * p^(k - (3/2)) * polcoeff(f, n)) + (sumdiv(n, p, p^((2 * k)- 2) * polcoeff(f, n/p^2))) * q^n) + O(q^(poldegree(f) + 1));}

Ah OK! But there is no error on my computer:

parisizemax = 4000002048, primelimit = 500000, nbthreads = 8
? S(f, p, k) = {f = truncate(f); sum(n = 1, poldegree(f), (polcoeff(f, (n * p^2))) + (kronecker(-4, n)^(k - (1/2)) * kronecker(12 * n,p)
* p^(k - (3/2)) * polcoeff(f, n)) + (sumdiv(n, p, p^((2 * k)- 2) * polcoeff(f, n/p^2))) * q^n) + O(q^(poldegree(f) + 1));}
?

There is no error. What error do you get ?

Cheers,
Bill.