Published June 11, 2007 | Version v1
Journal article Open

The Number of Representations by Sums of Squares and Triangular Numbers

Authors/Creators

  • 1. Institute of Information and Mathematical Sciences, Massey University, Albany Campus, Private Bag 102 904, North Shore Mail Centre, Auckland, New Zealand

Description

In this paper, we present eighteen interesting infinite products and their Lambert series expansions. From these, we deduce formulae for the number of representations of an integer n by eighteen quadratic forms in terms of divisor sums.

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