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http://dx.doi.org/10.4134/CKMS.2005.20.3.467

CONGRUENCE EQUATIONS OF axi + byj ≡ c AND axi + byj + dzt ≡ c(modp) WHEN p=2q+1 WITH p AND q ODD PRIMES  

KIM, DAE-YEOUL (Department of Mathematics Chonbuk National University)
KOO, JA-KYUNG (Department of Mathematics Korea Advanced Institute of Science and Technology)
KIM, MYUNG-HWAN (Department of Mathematical Science Seoul National Univ.)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.3, 2005 , pp. 467-485 More about this Journal
Abstract
Let p and q be odd primes with p=2q+1. We study the number of solutions of congruence equations $ax^i\;+\;by^j\;{\equiv}\;c$ (mod p) and a$ax^i\;+\;by^j\;+\;dz^t\;{\equiv}\;c(modp)$
Keywords
congruences; counting solutions of Diophantine equations;
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