Primary 11L40;
Secondary 11N69;
Character sums;
Squarefree numbers;
Arithmetic progressions;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
We give upper bounds for character sums over squarefree and squarefull numbers sharper than the prior known in the literature. As an application, we study the distribution of squarefull numbers in arithmetic progressions and sharpen (without restriction on the modulus) the recent results obtained by Liu and Zhang.
机构:
Yamaguchi Univ, Fac Sci, Dept Math Sci, Yoshida 1677-1, Yamaguchi 7538512, JapanYamaguchi Univ, Fac Sci, Dept Math Sci, Yoshida 1677-1, Yamaguchi 7538512, Japan
机构:
Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
Xi, Ping
Yi, Yuan
论文数: 0引用数: 0
h-index: 0
机构:
Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
Univ Iowa, Dept Math, Iowa City, IA 52242 USAXi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
机构:
Xian Technol Univ, Sch Sci, Xian 710021, Shaanxi, Peoples R ChinaXian Technol Univ, Sch Sci, Xian 710021, Shaanxi, Peoples R China
Ma, Yuankui
Chen, Hui
论文数: 0引用数: 0
h-index: 0
机构:
Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaXian Technol Univ, Sch Sci, Xian 710021, Shaanxi, Peoples R China
Chen, Hui
Qin, Zhenzhen
论文数: 0引用数: 0
h-index: 0
机构:
Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaXian Technol Univ, Sch Sci, Xian 710021, Shaanxi, Peoples R China
Qin, Zhenzhen
Zhang, Tianping
论文数: 0引用数: 0
h-index: 0
机构:
Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaXian Technol Univ, Sch Sci, Xian 710021, Shaanxi, Peoples R China