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On the leastK-th power non-residue

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Arkiv för Matematik

Abstract

LetC k (p) denote the group of thek-th powers (modp)p a prime with (k, p −1)>1. A new elementary result for the leastk-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 ofC k (p).

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Authors and Affiliations

  1. University of South Carolina, USA

    Richard H. Hudson

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  1. Richard H. Hudson
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Hudson, R.H. On the leastK-th power non-residue. Ark. Mat. 12, 217–220 (1974). https://doi.org/10.1007/BF02384758

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  • DOI: https://doi.org/10.1007/BF02384758

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