Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 59, No. 2, pp. 195-203 (2002)

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On the Set $ax+bg^x (mod p)}$

Cristian Cobeli, Marian Vâjâitu and Alexandru Zaharescu

Institute of Mathematics of the Romanian Academy,
P.O. Box 1-764, 70\,700 Bucharest -- ROMANIA
E-mail: ccobeli@stoilow.imar.ro , mvajaitu@stoilow.imar.ro

Abstract: Given nonzero integers $a$, $b$ we prove an asymptotic result for the distribution function of the set $ax+bg^x\pmod p$, as $p$ goes to infinity and $g$ is a primitive root mod $p$.

Classification (MSC2000): 11A07.

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Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.

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