Orbits on the projective line
نویسندگان
چکیده
منابع مشابه
Heights on the Finite Projective Line
Define the height function h(a) = min{k + (ka mod p) : k = 1, 2, . . . , p − 1} for a ∈ {0, 1, . . . , p − 1.} It is proved that the height has peaks at p, (p+1)/2, and (p+c)/3, that these peaks occur at a = [p/3], (p−3)/2, (p− 1)/2, [2p/3], p − 3, p− 2, and p − 1, and that h(a) ≤ p/3 for all other values of a. 1. Heights on finite projective spaces Let p be an odd prime and let Fp = Z/pZ and F...
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0.1. Notations and Conventions. During this note, we will fix a base field k (e.g. the complex numbers C). The multiplicative group of the field k will be denoted by Gm. All the vector spaces considered will be finite dimensional vector spaces over the field k. For a given vector space V of dimension≥ 1, we will denote the dual vector space, the projective space parameterizing 1-dimensional sub...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1981
ISSN: 0097-3165
DOI: 10.1016/0097-3165(81)90011-x