On Weil-Stark elements, II: refined Stark conjectures

The theory of Weil-Stark elements is used to develop an axiomatic approach to the formulation of refined versions of Stark's Conjecture. This gives concrete new results concerning leading terms of Artin $L$-series and arithmetic properties of Stark elements.

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Bibliographische Detailangaben
Hauptverfasser: Burns, David, Castillo, Daniel Macias, Seo, Soogil
Format: Artikel
Sprache:eng
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Zusammenfassung:The theory of Weil-Stark elements is used to develop an axiomatic approach to the formulation of refined versions of Stark's Conjecture. This gives concrete new results concerning leading terms of Artin $L$-series and arithmetic properties of Stark elements.
DOI:10.48550/arxiv.2310.10581