Raabe's formula for \(p\)-adic gamma and zeta functions

DOI10.5802/aif.2353zbMath1243.11114OpenAlexW2316274741MaRDI QIDQ2482864

Henri Cohen, Eduardo C. Friedman

Publication date: 24 April 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_1_363_0

zbMATH Keywords

\(p\)-adic gamma functionRaabe's formula\(p\)-adic zeta function

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)

Related Items (8)

SPECIAL VALUES OF DIRICHLET SERIES AND ZETA INTEGRALS ⋮ A research on the recursive value and general terms of the analogue Euler zeta function on positive integers ⋮ Some properties of the \(q\)-extension of the \(p\)-adic gamma function ⋮ A note on p-adic Raabe formulas ⋮ A symbolic approach to multiple Hurwitz zeta values at non-positive integers ⋮ A distribution formula for Kashio's \(p\)-adic log-gamma function ⋮ On \(p\)-adic Hurwitz-type Euler zeta functions ⋮ Integrals of powers of loggamma

Cites Work

• A note on p-adic L-functions
• Shintani-Barnes zeta and gamma functions
• The p-Adic Log Gamma Function and p-Adic Euler Constants
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