Exponential sums for eighth degree polynomial

• Main Authors: Low, Chee Wai, Sapar, Siti Hasana, Mohamat Johari, Mohamat Aidil
• Format: Article
• Language: English
• Published: Institute for Mathematical Research, Universiti Putra Malaysia 2020
• Online Access: http://psasir.upm.edu.my/id/eprint/38340/1/7.%20Siti%20Hasana%20Sapar.pdf; http://psasir.upm.edu.my/id/eprint/38340/; http://einspem.upm.edu.my/journal/fullpaper/vol14no1jan/7.%20Siti%20Hasana%20Sapar.pdf

Let p > 7 be a prime, the exponential sums of any polynomial f(x, y) is given by S(f; p α ) = ∑x,y mod p e 2πif(x,y)/ pα, where the sum is taken over a complete set of residue modulo p. Firstly, Newton Polyhedron technique was used to determine the estimation for the p-adic sizes of common zeros...