THE CIRCULAR DISPERSION SPECTRUM

[摘要] Let sic be a real irrational number and N a positive integer. The one-dimensional torus T is divided by the N points nI mod 1, n = 1, 2, ..., N, into N arcs. Denote the length of the longest of these arcs by d(N). Define the circular dispersion constant of sic, notation C(sic), by C(sic): =lim sup(N --> infinity) Nd(N). T set of numbers C(sic) is called the circular dispersion spectrum. This paper determines the smallest accumulation point of this spectrum and all points below this accumulation point. (C) 1994 Academic Press, Inc.

[发布日期] 1994-12-01