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The p-adic generalized twisted (h,q) -Euler-l-function and its applications

M. Cenkci
장전수학회 (Jangjeon Mathematical Society)|2007.07|Advanced Studies in Contemporary Mathematics|제15권 제1호|pp. 37-47

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Abstract

The main purpose of this paper is to construct the p-adic twisted (h;q)-Euler-l-function, which interpolates generalized twisted (h;q)-Euler numbers associated with a primitive Dirichlet character. This is a partial answer for the open question which was remained in [15].An application of this function leads general congruences systems for generalized twisted (h;q)-Euler numbers associated with, in particular, Kummer-type congruences for these numbers are obtained.

참고문헌 (28)

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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 제1호A note on p -adic q-integral on Z_p associated with q-Euler numbersT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호New q-Euler numbers and polynomials associated with p-adic q-integralsL. Jang, M. S. Kim, S. H. Rim, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호On $q$-analgue of the twisted $L$-functions and\ $q$-twisted Bernoulli\ numbersYilmaz Simsek대한수학회 · 대한수학회지2003 · 제40권 제6호The behavior of the twisted $p$-adic $(h,q)$-$L$-functions at $s=0$Yilmaz Simsek대한수학회 · 대한수학회지2007 · 제44권 제4호A note on p -adic q -Euler measureH. Ozden, I. Cang？l, S.-H. Rim, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제2호

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