[seqfan] Re: Looking for a paper from J London Math Soc 1930

Neil Sloane njasloane at gmail.com
Tue Nov 29 19:18:04 CET 2016


Sean, Jean-Paul:   Thank you very much for sending the paper!  Even Rutgers
didn't have access to it.

The sequence I was looking for, in Wilton's Table II, turns out to match
A106867 (at least at the start) .

This is a bit of a surprise since the defn. of A106867 is
Primes of the form 2*x^2+x*y+3*y^2.
and there is a comment saying:
Primes p such that the polynomial x^3-x-1 is irreducible over Zp. The
polynomial discriminant is also -23.

On the other hand, Wilton's definition is
Primes p such that Ramanujan tau(p) = A000594(p) == -1 (mod 23).

Is it obvious that these are the same?  Since A106867 has a b-file from Ray
Chandler with 10000 terms,
it would be easy to check if they agree out that far.


Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


On Tue, Nov 29, 2016 at 1:03 PM, Sean A. Irvine <sairvin at gmail.com> wrote:

> I have sent Neil the requested paper.
>
>
> On 30 November 2016 at 06:44, Neil Sloane <njasloane at gmail.com> wrote:
>
> > Can anyone get hold of a copy of
> >
> > Wilton, John Raymond. "Congruence properties of Ramanujan's function τ
> > (n)." *Proceedings of the London Mathematical Society* 2.1 (1930): 1-10.
> >
> > Lehmer says that Table II has a list of primes with a certain property
> > related to tau(n).
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>


More information about the SeqFan mailing list