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On the least$K$-th power non-residue

Richard H. Hudson University of South Carolina, USA

TBD mathscidoc:1701.332402

Arkiv for Matematik, 12, (1), 217-220, 1972.5
Let$C$_{$k$}$(p)$denote the group of the$k$-th powers (mod$p$)$p$a prime with ($k, p$−1)>1. A new elementary result for the least$k$-th power non-residue is given and the result is applied to finding a new elementary bound for the maximum number of consecutuve integers in any coset of$C$_{$k$}$(p)$.
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@inproceedings{richard1972on,
  title={On the least$K$-th power non-residue},
  author={Richard H. Hudson},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203454178577211},
  booktitle={Arkiv for Matematik},
  volume={12},
  number={1},
  pages={217-220},
  year={1972},
}
Richard H. Hudson. On the least$K$-th power non-residue. 1972. Vol. 12. In Arkiv for Matematik. pp.217-220. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203454178577211.
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