Abstract
Motivated by the result of Rankin for representations of integers as sums of squares, we use a decomposition of a modular form into a particular Eisenstein series and a cusp form to show that the number of ways of representing a positive integer as the sum of triangular numbers is asymptotically equivalent to the modified divisor function .
Citation
Atanas Atanasov. Rebecca Bellovin. Ivan Loughman-Pawelko. Laura Peskin. Eric Potash. "An asymptotic for the representation of integers as sums of triangular numbers." Involve 1 (1) 111 - 121, 2008. https://doi.org/10.2140/involve.2008.1.111
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