Hurwitz Type Results for Sum of Two Triangular Numbers

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Let t_2(n) denote the number of representations of n as a sum of two triangular numbers and t_(a,b)(n) denote number of representations of n as a sum of a times triangular number and b times triangular number. In this paper, we prove number of results in which generating functions of t_2(n) and t_(1,3) are in�finite product. We also establish relations between t_(1,3)(n); t_(1,12)(n); t_(3,4)(n); t_2(n) and t_(1,4)(n).