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The number of representations by sums of squares and triangular numbers. (English) Zbl 1165.11039

Summary: 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.

MSC:

11E25 Sums of squares and representations by other particular quadratic forms
33E05 Elliptic functions and integrals
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