Partial zeta functions, partial exponential sums, and \(p\)-adic estimates

DOI10.1016/j.ffa.2022.102139OpenAlexW3175130490MaRDI QIDQ2689348

Yanyan Li

Publication date: 10 March 2023

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

Full work available at URL: https://arxiv.org/abs/2106.09755

zbMATH Keywords

exponential sums\(L\)-functionzeta function\(p\)-adic valuation\(p\)-adic estimates

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23)

Cites Work

• Moment \(L\)-functions, partial \(L\)-functions and partial exponential sums
• Rationality of partial zeta functions
• Two Notes on Notation
• $p$-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
• On a Theorem of Ax
• Zeroes of Polynomials Over Finite Fields
• Partial zeta functions of algebraic varieties over finite fields

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