Two cases of Stark's conjecture

DOI10.1007/BF01455563zbMath0554.12006WikidataQ123260263 ScholiaQ123260263MaRDI QIDQ759799

Jonathan W. Sands

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164017

zbMATH Keywords

L-functionsderivatives at \(s=0\)Stark conjecturetame multi-quadratic extension

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42)

Related Items (6)

Stark's conjecture and Abelian \(L\)-functions with higher order zeros at \(s=0\) ⋮ Continued fractions, special values of the double sine function, and Stark units over real quadratic fields ⋮ Computing Stark units for totally real cubic fields ⋮ On a generalization of the rank one Rubin-Stark conjecture ⋮ Stark's conjecture in multi-quadratic extensions, revisited. ⋮ An extension of the first-order Stark conjecture

Cites Work

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• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
• On certain ray class invariants of real quadratic fields
• Galois groups of exponent two and the Brumer-Stark conjecture.

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