Re: Regard hecke operators in half integer weight setting

[Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>]

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.