L-functions ofp-adic characters

DOI10.1215/00277630-2379114zbMath1292.11074arXiv1206.5513OpenAlexW3098596695MaRDI QIDQ5408692

Daqing Wan, Christopher Davis

Publication date: 11 April 2014

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.5513

zbMATH Keywords

\(L\)-function\(p\)-adic character

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Witt vectors and related rings (13F35)

Cites Work

• Unnamed Item
• \(T\)-adic exponential sums over finite fields
• \(p\)-adic Banach spaces and families of modular forms
• L-functions of p-adic characters and geometric Iwasawa theory
• Meromorphic continuation of \(L\)-functions of \(p\)-adic representations
• Dwork's conjecture on unit root zeta functions
• The big de Rham-Witt complex
• Normalized period matrices. I: Plane curves
• Normalized period matrices. II
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• Cohomology of arithmetic families of (𝜑,Γ)-modules
• Higher rank case of Dwork’s conjecture
• Rank one case of Dwork’s conjecture
• Unit \(L\)-functions and a conjecture of Katz

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