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Prime Two-dimensional Orders and Perpendicular Total Orders

✍ Scribed by I. Zaguia

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
166 KB
Volume
19
Category
Article
ISSN
0195-6698

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✦ Synopsis

Starting with a correspondence between prime two-dimensional orders and pairs of perpendicular total orders we put in perspective several asymptotic results, we deduce an estimate of the number of prime two-dimensional orders (labelled and unlabelled as well). Using Poisson approximation, we give a new proof of the fact that the proportion of total orders perpendicular to a given total order is asymptotically e -2 = 0.1353 . . ..

πŸ“œ SIMILAR VOLUMES

Two Addition Theorems on Groups of Prime
Two Addition Theorems on Groups of Prime Order
✍ W.D. Gao πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 162 KB

Let S=(a 1 , a 2 , ..., a 2n&1 ) be a sequence of 2n&1 elements in an Abelian group G of order n (written additively). For a # G, let r(S, a) be the number of subsequences of length exactly n whose sum is a. Erdo s et al. [1] proved that r(S, 0) 1. In [2], Mann proved that if n (=p) is a prime, then