Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes

被引：0
|
作者：
Ping Xi
机构：
[1] Xi’an Jiaotong University,School of Mathematics and Statistics
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Quadratic residue; quadratic non-residue; Piatetski-Shapiro prime; 11A15; 11N05;
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摘要：
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.
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页码：515 / 522
页数：7
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