Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes
Abstract
In this paper, we prove a quantitative version of the statement that every nonempty finite subset of N+ is a set of quadratic residues for infinitely many primes of the form [nc] with 1≤slant c≤slant243/205. Correspondingly, we can obtain a similar result for the case of quadratic non-residues under reasonable assumptions. These results generalize the previous ones obtained by S. Wright in certain aspects.
0