Congruence Properties of Ramanujan's Function T(n) (II)


Affiliations

  • University of Madras, India

Abstract

Let T(n) be Ramanujan's function defined by

Σ T(n) xn = x [(I-x) (I-x)2)...]24.

It was recently proved by me that

T(kn-I) = 0 (mod k),            (I. I)

where k = 3, 4, 6, 8, 12 or 21 and n ≥ I. The object of this paper is to find the residues of T(n) to the moduli 3, 4 and 7.


Subject Discipline

Mathematical Sciences

Full Text:

Refbacks

  • There are currently no refbacks.