Bulletin of Aizu Museum, Waseda University

(1.11) The main aim of this paper is to determine closed form representations of S(a,p) in terms of δ(p) and the Riemann Zeta function ζ(p).. The closed form of AS(a,p) will also

For staggered entry, the Cox frailty model, and in Markov renewal process/semi-Markov models (see e.g. Andersen et al., 1993, Chapters IX and X, for references on this work),

We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.. We

We present combinatorial proofs of several non-commutative extensions, and find a β-extension that is both a generalization of Sylvester’s identity and the β-extension of the

If all elements of S lie in the same residue class modulo P then Lemma 3.3(c) can be applied to find a P -ordering equivalent set with representa- tives in at least two

Next, we prove bounds for the dimensions of p-adic MLV-spaces in Section 3, assuming results in Section 4, and make a conjecture about a special element in the motivic Galois group

Maria Cecilia Zanardi, São Paulo State University (UNESP), Guaratinguetá, 12516-410 São Paulo,

Theorem (B-H-V (2001), Abouzaid (2006)) A classification of defective Lucas numbers is obtained:.. Finitely many