Comparing two formulas for the Gross-Stark units

DOI10.1016/j.jnt.2023.02.002OpenAlexW3195801945MaRDI QIDQ2696071

Matthew H. Honnor

Publication date: 6 April 2023

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

Full work available at URL: https://arxiv.org/abs/2108.06402

zbMATH Keywords

special values of L-functionsBrumer-Stark units

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shintani zeta functions and Gross-Stark units for totally real fields
• Residue at \(s=1\) of \(p\)-adic zeta functions
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units
• On the Brumer-Stark conjecture
• Shintani cocycles and the order of vanishing of \(p\)-adic Hecke \(L\)-series at \(s=0\)
• Integral Eisenstein cocycles on \(\mathrm{GL}_n\). II: Shintani's method.
• On special zeros of \(p\)-adic \(L\)-functions of Hilbert modular forms
• On the characteristic polynomial of the Gross regulator matrix

This page was built for publication: Comparing two formulas for the Gross-Stark units