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Complete Exponential Sums

In: Diophantine Equations and Inequalities in Algebraic Number Fields

Author

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  • Wang Yuan

    (Academia Sinica, Institute of Mathematics)

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.

Suggested Citation

  • Wang Yuan, 1991. "Complete Exponential Sums," Springer Books, in: Diophantine Equations and Inequalities in Algebraic Number Fields, chapter 0, pages 14-22, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-58171-7_2
    DOI: 10.1007/978-3-642-58171-7_2
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