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APPLICATIONS OF LERCH’S THEOREM TO PERMUTATIONS OF QUADRATIC RESIDUES

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Published in 2019 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s000497271900073x

Abstract: Let $n$ be a positive integer and $a$ an integer prime to $n$ . Multiplication by $a$ induces a permutation over $\mathbb{Z}/n\mathbb{Z}=\{\overline{0},\overline{1},\ldots ,\overline{n-1}\}$ . Lerch’s theorem gives the sign of this permutation. We explore some… read more here.

Keywords: lerch theorem; applications lerch; permutation; theorem permutations ... See more keywords