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 〈 c 〈 243/205. Corresponding...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 〈 c 〈 243/205. 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 Wright in certain aspects.展开更多
基金Supported by National Natural Science Foundation of China (Grant No. 11171265)the Fundamental Research Funds for the Central Universities
文摘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 〈 c 〈 243/205. 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 Wright in certain aspects.
