A Spiegelungssatz for function field L-series

2015/02/03 by Bruno Anglès, Anglès, Bruno, Floric Tavares Ribeiro +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1502.00949

arxiv created 2015/02/03 · openalex publication_date 2015/02/03 · arxiv updated 2015/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a kind of reflection principle for certain non-archimedean L-series in positive characteristic. We also prove the pseudo-cyclicity and pseudo-nullity of certain several variable generalizations of the class modules introduced by L. Taelman in 2010.

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• Arithmetic of function field units

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