On the cardinality of the set of solutions to congruence equation associated with polynomial of degree eleven

• Main Authors: Lasaraiya, Suriana, Sapar, Siti Hasana, Mohamat Johari, Mohamat Aidil
• Format: Conference or Workshop Item
• Language: English
• Published: AIP Publishing 2015
• Online Access: http://psasir.upm.edu.my/id/eprint/57664/1/On%20the%20cardinality%20of%20the%20set%20of%20solutions%20to%20congruence%20equation%20associated%20with%20polynomial%20of%20degree%20eleven.pdf; http://psasir.upm.edu.my/id/eprint/57664/

Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated with f modulo a prime pα is defined as S(f;q)= ∑e2πif(x)/q. It has been shown that the estimation of S(f; pα)depends on the cardinality of the set of solutions to the congruence equation associate...