Bull. Korean Math. Soc. 2012; 49(1): 165-174
Printed January 1, 2012
https://doi.org/10.4134/BKMS.2012.49.1.165
Copyright © The Korean Mathematical Society.
Daekil Park and Jin-Woo Son
Kyungnam University, Kyungnam University
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
MSC numbers: 11B68, 11S80
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