The archimedean Euler factor in the completed spin L–function of a Siegel modular form is computed. Several formulas are obtained, relating this factor to the recursively defined factors of Andrianov and to symmetric power L–factors for GL(2). The archimedean ε–factor is also computed. Finally, the critical points of certain motives in the sense of Deligne are determined. Introduction Let f be ...

We construct a nonarchimedean (or p-adic) analogue of the classical ternary Cantor set C. In particular, we show that this nonarchimedean Cantor set C3 is self-similar. Furthermore, we characterize C3 as the subset of 3-adic integers whose elements contain only 0’s and 2’s in their 3-adic expansions and prove that C3 is naturally homeomorphic to C. Finally, from the point of view of the theory ...

Rigorous bounds for the bond percolation critical probability are determined for three Archimedean lattices: .7385 < pc((3, 12 ) bond) < .7449, .6430 < pc((4, 6, 12) bond) < .7376, .6281 < pc((4, 8 ) bond) < .7201. Consequently, the bond percolation critical probability of the (3, 12) lattice is strictly larger than those of the other ten Archimedean lattices. Thus, the (3, 12) bond percolation...

The representation theorem Cor F-transitive fuzzy relations is used to prove that the set of reflexive, symmetric and F -transitive fuzzy relations on a set X, F being an Archimedean t-norm, is dense in the set of Ztransitive relations on X. It is also shown that any similarity relation can be represented as a limit of a sequence of transitive relations with respect to Archimedean t-norms.

Let G be a connected semisimple group over a non-Archimedean local field. For every faithful, geometrically irreducible linear representation of G we define a compactification of the associated Bruhat-Tits building X(G). This yields a finite family of compactifications of X(G) which contains the polyhedral compactification. Besides, this family can be seen as a non-Archimedean analogue of the f...

Park (2010) [8] presented a method to obtain the upper bound on efficiency in imprecise data envelopment analysis (IDEA) in which the envelopment model with imprecise data had been used. In this paper, we consider the dual model, the multiplier model, which involves the non-Archimedean element ε . Then, we define a model to determine the upper bound of ε . An assurance interval for the non-Arch...