On the p‐adic Stark conjecture at s=1 and applications
نویسندگان
چکیده
منابع مشابه
ON THE p-ADIC STARK CONJECTURE AT s = 1 AND APPLICATIONS
Let E/F be a finite Galois extension of totally real number fields and let p be a prime. The ‘p-adic Stark conjecture at s = 1’ relates the leading terms at s = 1 of p-adic Artin L-functions to those of the complex Artin L-functions attached to E/F . We prove this conjecture unconditionally when E/Q is abelian. Moreover, we also show that for certain non-abelian extensions E/F the p-adic Stark ...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2020
ISSN: 0024-6107,1469-7750
DOI: 10.1112/jlms.12310