On the least K-th power non-residue

Richard H. Hudson

doi:10.1007/BF02384758

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Home > Journals > Ark. Mat. > Volume 12 > Issue 1-2 > Article

1974 On the least K-th power non-residue

Richard H. Hudson

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Richard H. Hudson¹
¹University of South Carolina

Ark. Mat. 12(1-2): 217-220 (1974). DOI: 10.1007/BF02384758

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Abstract

LetC_k(p) denote the group of the k-th powers (modp)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).