Newton slopes for twisted Artin–Schreier–Witt towers

DOI10.1142/S1793042119501148zbMath1459.11229arXiv1704.07017WikidataQ127897987 ScholiaQ127897987MaRDI QIDQ4971991

Rufei Ren

Publication date: 22 November 2019

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

Full work available at URL: https://arxiv.org/abs/1704.07017

zbMATH Keywords

eigencurves\(T\)-adic exponential sums\(T\)-adic Newton polygon for Artin-Schreier-Witt towersArtin-Schreier-Witt towersslopes of Newton polygon

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Other Dirichlet series and zeta functions (11M41) Curves over finite and local fields (11G20) Exponential sums (11T23)

Related Items (1)

On \(L\)-functions of twisted \(T\)-adic exponential sums

Cites Work

• Newton slopes for Artin-Schreier-Witt towers
• Generic \(T\)-adic exponential sums in one variable
• Twisted exponential sums of polynomials in one variable
• Hodge-Stickelberger polygons for \(L\)-functions of exponential sums of \(P(x^s)\)
• \(T\)-adic exponential sums over finite fields
• The stable property of Newton slopes for general Witt towers
• The \(L\)-functions of Witt coverings
• Slopes for higher rank Artin–Schreier–Witt towers

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