ANOTHER LOOK AT GROSS–STARK UNITS OVER THE NUMBER FIELD ℚ

DOI10.1142/S1793042111004150zbMath1231.11135OpenAlexW2169613747MaRDI QIDQ3173276

Jeehoon Park

Publication date: 27 September 2011

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

Full work available at URL: https://doi.org/10.1142/s1793042111004150

zbMATH Keywords

\(p\)-adic \(L\)-functions\(p\)-adic multiplicative integration

Mathematics Subject Classification ID

Zeta functions and (L)-functions (11S40) Elliptic and modular units (11G16)

Related Items (2)

Milnor \(K_2\) and \(p\)-adic zeta functions for real quadratic fields ⋮ Explicit computation of Gross-Stark units over real quadratic fields

Cites Work

• Shintani zeta functions and Gross-Stark units for totally real fields
• The refined \(\mathfrak p\)-adic abelian Stark conjecture in function fields
• On the behavior of \(p\)-adic \(L\)-functions at \(s=0\)
• Gauss sums and the p-adic \(\Gamma\)-function
• Elliptic units for real quadratic fields
• Computations of Elliptic Units for Real Quadratic Fields
• Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.

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