Joint Review of Quadratic Residues and Non-Residues by Steve Wright and The Quadratic Reciprocity Law by Oswald Baumgart Edited and translated by Franz Lemmermeyer

Based on results of Weil and of Burgess, we have obtained a boundK(l) such that all primesp ≧K(l) have a sequence of at leastl consecutive quadratic residues and a sequence of at leastl consecutive nonresidues in the interval [1,p − 1]. The bound ...

Let p be an odd prime. In this paper we investigate quadratic residues modulo p and related permutations, congruences and identities. If a 1 < … < a ( p − 1 ) / 2 are all the quadratic residues modulo p among 1 , … , p − 1, then the ...

Given an even cyclic (+1,-1) sequence s=(s₀,...,s_2n-1) which consists of n plus ones and n minus ones, let us compute i+j (mod 2n) for all n² (+1, -1)-pairs (s_i, s_j) and insert the obtained n² numbers into 2n "boxes" b₀, b₁,....,b_2n-1, where box b_k ...