Number Theory


Speed and Measure Theorems Related to the Lonely Runner Conjecture

Authors: David Rudisill

We prove an important new result on this problem: Given any epsilon > 0 and k >= 5, and given any set of speeds s_1 < s_2 < ... < s_k, there is a set of speeds v_1 < v_2 < ... < v_k for which the lonely runner conjecture is true and for which |s_i - v_i| < epsilon. We also prove some measure theorems.

Comments: 14 Pages.

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Submission history

[v1] 2019-06-13 11:24:19

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