Browsing by Author "Chandrashekar, Adiga"

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    General relations between sums of squares and sums of triangular numbers
    (Massey University, 2004) Chandrashekar, Adiga; Cooper, Shaun; Han, Jung Hun
    Let = ( 1, · · · , m) be a partition of k. Let r (n) denote the number of solutions in integers of 1x21 + · · · + mx2 m = n, and let t (n) denote the number of solutions in non negative integers of 1x1(x1 +1)/2+· · ·+ mxm(xm +1)/2 = n. We prove that if 1 k 7, then there is a constant c , depending only on , such that r (8n + k) = c t (n), for all integers n.