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Centro de Ciencias Matemáticas UNAM

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On the smallest simultaneous power nonresidue modulo a prime  

Abstract:

Let p be a prime and let p1,.., pr be distinct prime divisors of p-1. We prove that the smallest positive integer n which is a simultaneous p1,.., pr-power nonresidue modulo p satisfes for some positive cr satisfying cr??.
Keywords: Primitive Roots; Sieve Methods; Simultaneous Power Nonresidues; Well-Spaced Divisors
Journal: Forum Mathematicum
ISSN: 0933-7741
Year: 2017
Volume: 29
Number: 2
Pages: 347-355
Zbl Number: 06695168
Revision: 1
Created Created: 2017-03-22 10:12:07
Modified Modified: 2019-07-26 09:41:28
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