Stark's conjecture for L-functions with first-order zeroes at s=0

DOI10.1016/0001-8708(83)90006-3zbMath0528.12012OpenAlexW2091771258WikidataQ123193538 ScholiaQ123193538MaRDI QIDQ786858

Ted Chinburg

Publication date: 1983

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(83)90006-3

zbMATH Keywords

cyclotomic unitsGalois representationselliptic unitsArtin L-seriesirreducible complex representationcyclotomic Zl-extensionsorder of vanishing at s=0Stark conjecture for dimension one and twotetrahedral representation

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Units and factorization (11R27) Class field theory (11R37) Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18)

Related Items (7)

STARK POINTS AND -ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE ⋮ On cusp forms of octahedral type ⋮ On derivatives of \(p\)-adic \(L\)-series at \(s = 0\) ⋮ On special elements in higher algebraic \(K\)-theory and the Lichtenbaum-Gross conjecture ⋮ On derivatives of Artin \(L\)-series ⋮ Numerical Verification of the Stark-Chinburg Conjecture for Some Icosahedral Representations ⋮ Stark's conjecture for L-functions with first-order zeroes at s=0

Cites Work

• Stark's conjecture for L-functions with first-order zeroes at s=0
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• A property of L-functions on the real line
• Division values in local fields
• Icosahedral Galois representations
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields
• Endliche Gruppen I
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