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Further remarks on multiple p -adic q-L-function of two variables

M. Cenkci
장전수학회 (Jangjeon Mathematical Society)|2007.01|Advanced Studies in Contemporary Mathematics|제14권 제1호|pp. 49-68

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Abstract

The object of this paper is to give several properties and applications of the multiple p-adic q-L-function of two variables L(r)p;q (s;z;). The explicit formulas relating higher order q-Bernoulli polynomials, which involve sums of products of higher order q-zeta function and higher order Dirichlet q-L-function are given. The value of higher order Dirichlet p-adic q-L-function for positive integers is also calculated. Furthermore, the Kummer-type congruences for multiple generalized q-Bernoulli polynomials are derived by making use of the dierence theorem of higher order Dirichlet p-adic q-L-function.

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관련 논문AI추천

On a $q$-analogue of the $p$-adic generalized twisted $L$-functions and $p$-adic $q$-integrals장이채대한수학회 · 대한수학회지2007 · 제44권 제1호The behavior of the twisted $p$-adic $(h,q)$-$L$-functions at $s=0$Yilmaz Simsek대한수학회 · 대한수학회지2007 · 제44권 제4호On $q$-analgue of the twisted $L$-functions and\ $q$-twisted Bernoulli\ numbersYilmaz Simsek대한수학회 · 대한수학회지2003 · 제40권 제6호The p-adic generalized twisted (h,q) -Euler-l-function and its applicationsM. Cenkci장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제1호A note on p -adic q -Euler measureH. Ozden, I. Cang？l, S.-H. Rim, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제2호A note on p -adic q-integral on Z_p associated with q-Euler numbersT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호

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