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In this paper $q$-extensions of Genocchi numbers are defined and
several properties of these numbers are presented. Properties of
$q$-Genocchi numbers and polynomials are used to construct
$q$-extensions of $p$-adic measures which yield to obtain $p$-adic
interpolation functions for $q$-Genocchi numbers. As an
application, general systems of congruences, including Kummer-type
congruences for $q$-Genocchi numbers are proved.
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참고문헌 (19)
참고문헌 신청
/ / it On the behaviour of some two-variable $p$-adic $L$-functions
/ 1972. / \it Lectures on $p$-adic $L$-functions}
/ 1982 / \it On Carlitz's $q$-Bernoulli numbers} : 332 ~
/ 1989 / \it $q$-analogue of Riemann's $\zeta $-functionand $q$-Euler numbers} : 346 ~
/ 1994 / \it On explicit formulas of $p$-adic $q$-$L$-functions} : 73 ~
/ 1972. / \it Lectures on $p$-adic $L$-functions}
/ 1982 / \it On Carlitz's $q$-Bernoulli numbers} : 332 ~
/ 1989 / \it $q$-analogue of Riemann's $\zeta $-functionand $q$-Euler numbers} : 346 ~
/ 1994 / \it On explicit formulas of $p$-adic $q$-$L$-functions} : 73 ~
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