Re: Finding coefficients in linear combination

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

Hello,

Thank you for the correction. By \Delta, I mean the Ramanujan Delta function defined as 24^th power of the Dedekind eta function and the T_{17} refers to the integer weight Hecke operator.

Sorry for not clarifying the terms earlier.

Regards,

Swati

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From: Ruud H.G. van Tol <rvtol@isolution.nl>
Sent: Wednesday, March 13, 2024 12:09 PM
To: Swati, NoFirstName <S10@email.sc.edu>
Subject: Re: Finding coefficients in linear combination

 

[off-list]

On 2024-03-13 16:37, Swati, NoFirstName wrote:
> I am trying to look for an efficient way to compute the coefficients
> a_{i} in the linear combination of  the form
> \Delta^{129} \mid T_{17} \equiv \sum{j = 1}^{i} a_{i} \Delta^{i} \pmod{3}
> using pari/gp.

Maybe you meant:

\Delta^{129} \mid T_{17} \equiv \sum_{j = 1}^{i} a_{i} \Delta^{i} \pmod{3}

(I only added an underscore after sum)


-- Ruud