Estimation of Exponential Sums Using p-Adic Methods and Newton Polyhedron Technique

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Estimation of Exponential Sums Using p-Adic Methods and Newton Polyhedron Technique

Let p be a prime and f (x, y) be a polynomial in Z [x, y] p . For α >1 , the exponential sums associated with f modulo a prime α p is defined as = Σ α α α y p pS f p e f x y , mod ( ; ) ( ( , )) . Estimation of ( ; ) α S f p has been shown to depend on the number and p-adic sizes of common roots...

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Bibliographic Details
Main Author:	Yap, Hong Keat
Format:	Thesis
Language:	English English
Published:	2010
Subjects:	Newton diagrams p-adic analysis Estimation theory
Online Access:	http://psasir.upm.edu.my/id/eprint/19679/ http://psasir.upm.edu.my/id/eprint/19679/1/IPM_2010_11_F.pdf

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