Character sums over squarefree and squarefull numbers

被引:0
|
作者
Marc Munsch
机构
[1] Institut de Mathématiques de Bordeaux UMR 5251,
来源
Archiv der Mathematik | 2014年 / 102卷
关键词
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.
引用
收藏
页码:555 / 563
页数:8
相关论文
共 50 条
  • [31] On the distribution of squarefree numbers
    Liu, H. -Q.
    JOURNAL OF NUMBER THEORY, 2016, 159 : 202 - 222
  • [32] THE DISTRIBUTION OF SQUAREFULL NUMBERS IN SHORT INTERVALS
    FILASETA, M
    TRIFONOV, O
    ACTA ARITHMETICA, 1994, 67 (04) : 323 - 333
  • [33] Character sums over unions of intervals
    Shao, Xuancheng
    FORUM MATHEMATICUM, 2015, 27 (05) : 3017 - 3026
  • [34] Character sums over norm groups
    Li, WCW
    FINITE FIELDS AND THEIR APPLICATIONS, 2006, 12 (01) : 1 - 15
  • [35] Character sums over shifted primes
    Friedlander, J. B.
    Gong, K.
    Shparlinskii, I. E.
    MATHEMATICAL NOTES, 2010, 88 (3-4) : 585 - 598
  • [36] THE DISTRIBUTION OF SQUAREFREE NUMBERS
    HALL, RR
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1989, 394 : 107 - 117
  • [37] Squarefree numbers in sumsets
    Schoen, T
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2005, 16 (02): : 251 - 265
  • [38] DETECTING SQUAREFREE NUMBERS
    Booker, Andrew R.
    Hiary, Ghaith A.
    Keating, Jon P.
    DUKE MATHEMATICAL JOURNAL, 2015, 164 (02) : 235 - 275
  • [39] Character sums over shifted primes
    J. B. Friedlander
    K. Gong
    I. E. Shparlinskii
    Mathematical Notes, 2010, 88 : 585 - 598
  • [40] Character Sums Over Bohr Sets
    Hanson, Brandon
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2015, 58 (04): : 774 - 786