On slopes of \(L\)-functions of \(\mathbb{Z}_p\)-covers over the projective line

DOI10.1016/j.jnt.2017.11.009zbMath1430.11159arXiv1701.08733OpenAlexW2777903180MaRDI QIDQ1747240

Michiel Kosters, Hui June Zhu

Publication date: 4 May 2018

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

Full work available at URL: https://arxiv.org/abs/1701.08733

zbMATH Keywords

arithmetic progression\(\mathbb{Z}_p\)-coverArtin-Schreier-Witt extensionNewton slopes of \(L\) functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Estimates on exponential sums (11L07) Exponential sums (11T23) Witt vectors and related rings (13F35)

Related Items (7)

IWASAWA THEORY FORp-TORSION CLASS GROUP SCHEMES IN CHARACTERISTICp ⋮ Newton polygon of \(L\) function of \(x^d + \lambda x^{d -1} + \mu x \) ⋮ Exponential sums over finite fields ⋮ Class numbers and \(p\)-ranks in $\mathbb{Z}_p^d$-towers ⋮ Corrigendum to “Genus growth in ℤ_{𝕡}-towers of function fields” ⋮ \(T\)-adic exponential sums over affinoids ⋮ Newton polygon of exponential sums in two variables with triangular base

Cites Work

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• Newton slopes for Artin-Schreier-Witt towers
• \(T\)-adic exponential sums over finite fields
• The stable property of Newton slopes for general Witt towers

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