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http://dx.doi.org/10.4134/BKMS.2012.49.1.165

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

Park, Dae-Kil (Department of Electronic Engineering Kyungnam University)
Son, Jin-Woo (Department of Mechanical Engineering Kyungnam University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 165-174 More about this Journal
Abstract
In this paper, we construct a p-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.
Keywords
p-adic analogues; higher order Frobenius-Euler numbers; k-ple zeta function; Kummer-type congruences;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)  (Related Records In Web of Science)
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