APPLICATIONS OF LERCH’S THEOREM TO PERMUTATIONS OF QUADRATIC RESIDUES
Sign Up to like & getrecommendations! 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
The Quadratic Residues and Some of Their New Distribution Properties
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12030421
Abstract: In this paper, we give some interesting identities and asymptotic formulas for one kind of counting function, by studying the computational problems involving the symmetry sums of one kind quadratic residues and quadratic non-residues mod… read more here.
Keywords: quadratic residues; residues new; distribution properties; new distribution ... See more keywords