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arXiv · 1407.4751

Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even

Sanda Bujačić
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Abstract

In this paper we are dealing with the problem of the existence of two divisors of $(n^2+1)/2$ whose sum is equal to $δn+\varepsilon$, in the case when $δ$ and $\varepsilon$ are even, or more precisely in the case in which $δ\equiv\varepsilon+2\equiv0$ or $2 \pmod{4}$. We will completely solve the cases $δ=2, δ=4$ and $\varepsilon=0$.

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Sanda Bujačić. 2014-07-17. Two divisors of (n^2+1)/2 summing up to δn+ε, for δ and ε even. https://arxiv.org/abs/1407.4751

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