Stark's conjecture over complex cubic number fields

DOI10.1090/S0025-5718-03-01586-2zbMath1046.11082WikidataQ122887470 ScholiaQ122887470MaRDI QIDQ4813595

Brett A. Tangedal, Paul van Wamelen, David S. Dummit

Publication date: 13 August 2004

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

unitsL-functionsregulators

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Class field theory (11R37) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

Continued fractions, special values of the double sine function, and Stark units over real quadratic fields ⋮ Functorial Properties of Stark Units in Multiquadratic Extensions ⋮ Shintani zeta functions and Gross-Stark units for totally real fields ⋮ A refinement of Stark's conjecture over complex cubic number fields ⋮ An extension of the first-order Stark conjecture

Uses Software

• PARI/GP

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 \(s=0\)
• \(L\)-functions at \(s=1\). II: Artin \(L\)-functions with rational characters
• \(L\)-functions at \(s=1\). III: Totally real fields and Hilbert's twelfth problem
• Values of \(L\)-functions at \(s=1\). I: \(L\)-functions for quadratic forms
• Stark's Conjectures and Hilbert's Twelfth Problem
• Hilbert’s twelfth problem and 𝐿-series
• Computing Stark units for totally real cubic fields
• Advanced Topics in Computional Number Theory
• Computing the Hilbert class field of real quadratic fields

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