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\(T\)-adic exponential sums over affinoids

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Publication:2079491
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DOI10.1016/j.jnt.2022.04.012OpenAlexW2910450808WikidataQ114156495 ScholiaQ114156495MaRDI QIDQ2079491

Matthew Schmidt

Publication date: 30 September 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05516


zbMATH Keywords

exponential sumsNewton polygonT-adic sum


Mathematics Subject Classification ID

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




Cites Work

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  • Newton slopes for Artin-Schreier-Witt towers
  • Generic \(T\)-adic exponential sums in one variable
  • Twisted exponential sums of polynomials in one variable
  • Completely continuous endomorphisms of \(p\)-adic Banach spaces
  • \(T\)-adic exponential sums over finite fields
  • \(p\)-adic Banach spaces and families of modular forms
  • The stable property of Newton slopes for general Witt towers
  • On slopes of \(L\)-functions of \(\mathbb{Z}_p\)-covers over the projective line
  • Lectures on formal and rigid geometry
  • The \(L\)-functions of Witt coverings
  • Slopes for higher rank Artin–Schreier–Witt towers
  • On Exponential Sums in Finite Fields
  • A p-adic Fixed Point Formula
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