On a \(p\)-adic analogue of Shintani's formula

DOI10.1215/kjm/1250282969zbMath1088.11086OpenAlexW1607411009MaRDI QIDQ2574032

Tomokazu Kashio

Publication date: 28 November 2005

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250282969

zbMATH Keywords

\(p\)-adic \(L\)-functionstotally real fields\(p\)-adic gamma functionsZeta functions and \(L\)-functions of number fields

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions of number fields (11R42) Zeta functions and (L)-functions (11S40) Totally real fields (11R80)

Related Items (13)

The \(p\)-adic analytic Dedekind sums ⋮ Fermat curves and a refinement of the reciprocity law on cyclotomic units ⋮ Explicit computation of Gross-Stark units over real quadratic fields ⋮ A note on p-adic Raabe formulas ⋮ A distribution formula for Kashio's \(p\)-adic log-gamma function ⋮ On \(p\)-adic Hurwitz-type Euler zeta functions ⋮ p-Adic measures associated with zeta values and p-adic log multiple gamma functions ⋮ On \(p\)-adic analogue of Weil's elliptic functions according to Eisenstein ⋮ On the ratios of Barnes' multiple gamma functions to the \(p\)-adic analogues ⋮ Fundamentals of \(p\)-adic multiple \(L\)-functions and evaluation of their special values ⋮ The \(p\)-adic Arakawa-Kaneko-Hamahata zeta functions and poly-Euler polynomials ⋮ On \(p\)-adic multiple zeta and log gamma functions ⋮ On \(p\)-adic Diamond-Euler log gamma functions

This page was built for publication: On a \(p\)-adic analogue of Shintani's formula