Values of \(p\)-adic \(L\)-functions at positive integers and \(p\)-adic log multiple gamma functions

DOI10.2748/tmj/1178225845zbMath0809.11067OpenAlexW2045501726MaRDI QIDQ1319192

Hideo Imai

Publication date: 12 April 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225845

zbMATH Keywords

\(p\)-adic \(L\)-functions in several variables\(p\)-adic log multiple gamma functionsspecial values of \(p\)-adic \(L\)-functions at positive integers

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) Iwasawa theory (11R23)

Related Items (1)

FUNCTIONAL EQUATIONS FOR DOUBLE L-FUNCTIONS AND VALUES AT NON-POSITIVE INTEGERS

Cites Work

• Residue at \(s=1\) of \(p\)-adic zeta functions
• On the behavior of \(p\)-adic \(L\)-functions at \(s=0\)
• On the construction of p-adic L-functions
• On the values at rational integers of the p-adic Dirichlet L functions
• Values at negative integers of zeta functions and \(p\)-adic zeta functions
• A new proof of certain formulas for p-adic L-functions
• On the values of p-adic L-functions at positive integers
• The p-Adic Log Gamma Function and p-Adic Euler Constants
• Lectures on P-Adic L-Functions. (AM-74)
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