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


  • University of Madras, India


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

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