期刊论文详细信息
Proceedings Mathematical Sciences | |
Mean Value Estimates of the Error Terms of Lehmer Problem | |
Yaming Lu2  Dongmei Ren1  | |
[1] School of Mathematics and Statistics, Southwest University, Chongqing 00, People’s Republic of China$$;Research Center for Basic Science, Xi’an Jiaotong University, Xi’an, Shaanxi 00, People’s Republic of China$$ | |
关键词: Lehmer problem; Kloosterman sum; Gauss sum.; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
Let ð‘ be an odd prime and ð‘Ž be an integer coprime with ð‘. Denote by $N(a,p)$ the number of pairs of integers ð‘, ð‘ with $bc≡ a(mathrm{mod} p),1≤ b, c < p$ and with ð‘, ð‘ having different parity. The main purpose of this paper is to study the mean square value problem of $N(a,p)-frac{1}{2}(p-1)$ over interval (ð‘, ð‘+ð‘€] with ð‘€,ð‘ positive integers by using the analytic methods, and finally by obtaining a sharp asymptotic formula.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040506914ZK.pdf | 107KB | download |