p-Adic measures associated with zeta values and p-adic log multiple gamma functions

DOI10.1142/S1793042119500532zbMath1461.11153arXiv1704.04606OpenAlexW2963583819MaRDI QIDQ5380758

Tomokazu Kashio

Publication date: 6 June 2019

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

Full work available at URL: https://arxiv.org/abs/1704.04606

zbMATH Keywords

multiple gamma functions\(p\)-adic measuresGross-Stark conjecture

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Class field theory (11R37) Zeta functions and (L)-functions (11S40)

Related Items (1)

On the ratios of Barnes' multiple gamma functions to the \(p\)-adic analogues

Cites Work

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• 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
• On \(p\)-adic absolute CM-periods. II
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• Fermat curves and a refinement of the reciprocity law on cyclotomic units
• On the ratios of Barnes' multiple gamma functions to the \(p\)-adic analogues
• On a \(p\)-adic analogue of Shintani's formula
• On <i>p</i>-adic absolute CM-periods I

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