Congruence Properties of Ramanujan's Function T(n) (II)
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DOI:
https://doi.org/10.18311/jims/1945/17134Abstract
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.