On the characteristic polynomial of the Gross regulator matrix

DOI10.1090/tran/7393zbMath1441.11284arXiv1705.09432OpenAlexW2963577610MaRDI QIDQ5222851

Samit Dasgupta, Michael Spiess

Publication date: 4 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09432

zbMATH Keywords

Eisenstein cocycleconjecture of Gross\(p\)-adic Artin \(L\)-functionsGross \(p\)-adic regulator

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40)

Related Items

On the Gross-Stark conjecture, Comparing two formulas for the Gross-Stark units

Cites Work

• The Eisenstein cocycle and Gross's tower of fields conjecture
• Hilbert modular forms and the Gross-Stark conjecture
• On the rank one abelian Gross-Stark conjecture
• Shintani zeta functions and Gross-Stark units for totally real fields
• Values of abelian \(L\)-functions at negative integers over totally real fields
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• On the Gross-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
• Integral Eisenstein cocycles on \(\mathrm{GL}_n\). I: Sczech's cocycle and \(p\)-adic \(L\)-functions of totally real fields
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