Complete Exponential Sums

Wang Yuan
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Wang Yuan: Academia Sinica, Institute of Mathematics

Chapter Chapter 2 in Diophantine Equations and Inequalities in Algebraic Number Fields, 1991, pp 14-22 from Springer

Abstract: Abstract Let $$ f\left( \lambda \right) = {{\alpha }_{k}}{{\lambda }^{k}} + ... + {{\alpha }_{1}}\lambda $$ be ak-th degree polynomial with coefficients in K. Let a =(αk…,α1) be the fractional ideal generated by (αk…,α1). Suppose that aδ=g/q, where g;q are two relatively prime ideals, and $$ S(f(x),q) = \sum\limits_{\lambda (q)} {E(f(\lambda ))} , $$ where λ runs over a complete residue system mod q.

Date: 1991
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DOI: 10.1007/978-3-642-58171-7_2

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