Karim Belabas on Mon, 10 Aug 2015 12:45:38 +0200

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GP name for Ramanujan tau function ?

Hello list,

I'm looking for a good name for Ramanujan tau function, giving the
coefficients of the Delta modular form.

  tau() : no; would break scripts using Greek letters as variables...

  taudelta() : better, but not that clear

  tauramanujan() : my current personal favourite
  ( rather than ramanujantau() )

The intent of the function is to compute tau(n) for a *single* value n,
in time n^(1/2 + epsilon).

Another related function could return [tau(n) | n <- [1..N]]

  tauramanujanvec() ?

But I don't think it's that useful since the implementation
[ from x * eta(x)^24 ] is trivial.

The soon-to-be-released L-function package also allows to play with
L-series (which includes returning their coefficient list up to some
bound, but NOT an individual coefficient).

Ideas / Opinions anyone ?


Karim Belabas, IMB (UMR 5251)  Tel: (+33) (0)5 40 00 26 17
Universite de Bordeaux         Fax: (+33) (0)5 40 00 69 50
351, cours de la Liberation    http://www.math.u-bordeaux.fr/~kbelabas/
F-33405 Talence (France)       http://pari.math.u-bordeaux.fr/  [PARI/GP]