On integers which are representable as sums of large squares

Alessio Moscariello

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arXiv · 1408.1435

On integers which are representable as sums of large squares

Alessio Moscariello

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Abstract

We prove that the greatest positive integer that is not expressible as a linear combination with integer coefficients of elements of the set $\{n^2,(n+1)^2,\ldots \}$ is asymptotically $O(n^2)$, verifying thus a conjecture of Dutch and Rickett. Furthermore we ask a question on the representation of integers as sum of four large squares.

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Alessio Moscariello. 2014-08-06. On integers which are representable as sums of large squares. https://arxiv.org/abs/1408.1435

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