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arXiv · 2005.03129

On solving quadratic congruences

V. N. Dumachev
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Abstract

The paper proposes a polynomial formula for solution quadratic congruences in $\mathbb{Z}_p$. This formula gives the correct answer for quadratic residue and zeroes for quadratic nonresidue. The general form of the formula for $p=3 \;\rm{mod}\,4$, $p=5 \;\rm{mod}\,8$ and for $p=9 \;\rm{mod}\,16$ are suggested.

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V. N. Dumachev. 2020-05-06. On solving quadratic congruences. https://arxiv.org/abs/2005.03129

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