  Alternating variants of multiple poly-Bernoulli numbers and finite multiple
zeta values in characteristic 0 and p
  This paper consists of two parts: the characteristic 0 part and the
characteristic p part. In characteristic 0 part, we introduce an alternating
extension of multiple poly-Bernoulli numbers of K. Imatomi, M. Kaneko and E.
Takeda and obtain explicit presentations of the alternating finite multiple
zeta values introduced by J. Zhao in term of the alternating extension of
multiple poly-Bernoulli numbers. In characteristic p part, we introduce
positive characteristic analogues of alternating finite multiple zeta values
and express them as special values of finite Carlitz multiple polylogarithms
defined by C.-Y. Chang and Y. Mishiba. We introduce alternating variants of R.
Harada's multiple poly-Bernoulli-Carlitz numbers, which are analogues of
multiple poly-Bernoulli numbers, to obtain explicit presentations of the finite
alternating multiple zeta values. We show that any finite multiple zeta value
with integer index is expressed as k-linear combination of FMZV's with
all-positive indices.
