\(p\)-adic valuation of exponential sums associated to trinomials and some consequences

DOI10.1134/S2070046617040021zbMath1432.11106OpenAlexW2765202727WikidataQ115525816 ScholiaQ115525816MaRDI QIDQ1743661

Francis N. Castro, Raúl F. Figueroa

Publication date: 13 April 2018

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046617040021

zbMATH Keywords

permutation polynomials\(p\)-adic valuation of exponential sums

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Sums over primes (11L20)

Cites Work

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• Handbook of Finite Fields
• Exact divisibility of exponential sums and some consequences
• On the p-adic Theory of Exponential Sums
• $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
• Improvements of the Chevalley-Warning and the Ax-Katz Theorems
• Tight bounds for Chevalley–Warning–Ax–Katz type estimates, with improved applications
• p-adic Valuation of Exponential Sums in One Variable Associated to Binomials
• ON PERMUTATION BINOMIALS OVER FINITE FIELDS
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