%0 Journal Article
%T Sums of Squares and Triangular Numbers
%A Hershel M. Farkas
%J Online Journal of Analytic Combinatorics
%D 2006
%I University of Auckland
%X In this note we use the theory of theta functions to discover formulas for the number of representations of $N$ as a sum of three squares and for the number of representations of $N$ as a sum of three triangular numbers. We discover various new relations between these functions and short, motivated proofs of well known formulas of related combinatorial and number-theoretic interest.
%U http://analytic-combinatorics.org/index.php/ojac/article/view/5