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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