Testing the congruence conjecture for Rubin-Stark elements

DOI10.1016/J.JNT.2010.02.002zbMath1269.11114arXiv0807.1656OpenAlexW2369465911WikidataQ123152399 ScholiaQ123152399MaRDI QIDQ977127

David R. Solomon, Xavier-François Roblot

Publication date: 18 June 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1656

zbMATH Keywords

real quadratic fieldHilbert symbolL-functioncomputationexplicit reciprocity lawPARI/GPPARIcongruence conjectureRubin-Stark element

Mathematics Subject Classification ID

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

Related Items (2)

On 𝑝-adic families of special elements for rank-one motives ⋮ On twisted zeta-functions at \(s=0\) and partial zeta-functions at \(s=1\)

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• \(p\)-adic Abelian Stark conjectures at \(s=1\)
• Verifying a \(p\)-adic abelian Stark conjecture at \(s=1\).
• A Stark conjecture ``over \({\mathbb{Z}}\) for abelian \(L\)-functions with multiple zeros
• On twisted zeta-functions at \(s=0\) and partial zeta-functions at \(s=1\)
• Abelian L-functions at s=1 and explicit reciprocity for Rubin–Stark elements
• Advanced Topics in Computional Number Theory

This page was built for publication: Testing the congruence conjecture for Rubin-Stark elements