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ON A p-ADIC ANALOGUE OF k-PLE RIEMANN ZETA FUNCTION

손진우|박대길
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회보 (Bulletin of the KMS)|제49권 제1호|pp. 165-174

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참고문헌

키워드

p-adic analogueshigher order Frobenius-Euler numbersk-ple zeta functionKummer-type congruences.
주제분류수학

초록

In this paper, we construct a ρ-adic analogue of multiple Riemann zeta values and express their values at non-positive integers. In particular, we obtain a new congruence of the higher order Frobenius-Euler numbers and the Kummer congruences for the Bernoulli numbers as a corollary.

Abstract

In this paper, we construct a ρ-adic analogue of multiple Riemann zeta values and express their values at non-positive integers. In particular, we obtain a new congruence of the higher order Frobenius-Euler numbers and the Kummer congruences for the Bernoulli numbers as a corollary.

참고문헌 (20)

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Identities for the Bernoulli and Euler numbers arising from the P-adic integral on Z_p김대산, 김태균, 김현미, 이병제, 이상훈, 임석훈, Dmitry V. Dolgy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호Some arithmetic properties of Bernoulli and Euler numbers김대산, 김영희, S. H. LEE, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제4호HIGHER-ORDER TWISTED q-EULER POLYNOMIALS AND NUMBERS김대열, 김민수, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제2호q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호A note on the product of Frobenius-Euler ploynormials arising from the p-adic integral on Z_p최종성, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제2호Functional Equations associated with Generalized Bernoulli Numbers and Polynomials권혁인, 유천성, 장유선, Dmitry Victorovich Dolgy경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호

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