On Weil-Stark elements, II: Refined Stark conjectures

Burns, David; Macias Castillo, Daniel; Seo, Soogil

doi:10.1090/tran/9214

On Weil-Stark elements, II: Refined Stark conjectures
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by David Burns, Daniel Macias Castillo and Soogil Seo;

Trans. Amer. Math. Soc. 377 (2024), 7337-7375

DOI: https://doi.org/10.1090/tran/9214

Published electronically: June 18, 2024

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Abstract:

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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