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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

A note on Dirichlet characters


Author: Richard H. Hudson
Journal: Math. Comp. 27 (1973), 973-975
MSC: Primary 10H35; Secondary 10H15
MathSciNet review: 0337850
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Abstract: Denoting by $ r(k,m,p)$ the first occurrence of m consecutive kth power residues of a prime $ p \equiv 1 \pmod k$, we show that $ r(k,m,p) > c\log p$ for infinitely many p (c is an absolute constant) provided that k is even and $ m \geqq 3$.


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DOI: https://doi.org/10.1090/S0025-5718-1973-0337850-8
Article copyright: © Copyright 1973 American Mathematical Society