Exponential sums along \(p\)-adic curves.

DOI10.1016/S1071-5797(02)00002-3zbMath1084.11046arXivmath/0207201MaRDI QIDQ1870024

Wilson A. Zuniga-Galindo

Publication date: 4 May 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207201

zbMATH Keywords

exponential sumsalgebraic curves\(p\)-adic fields

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Exponential sums (11T23) Trigonometric and exponential sums (general theory) (11L03)

Related Items

Exponential sums and polynomial congruences along \(p\)-adic submanifolds ⋮ \(L\)-functions of exponential sums on curves over rings

Cites Work

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• Character sums over \(p\)-adic fields
• Igusa's local zeta functions of semiquasihomogeneous polynomials
• Codes over rings from curves of higher genus
• Euclidean weights of codes from elliptic curves over rings
• Local zeta functions and Newton polyhedra
• An upper bound for Weil exponential sums over Galois rings and applications
• On Exponential Sums in Finite Fields
• On Some Exponential Sums