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arXiv · 1905.08747

Lonely Points in Simplices

Maximilian Jaroschek·Manuel Kauers·Laura Kovacs
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Abstract

Given a lattice L in Z^m and a subset A of R^m, we say that a point in A is lonely if it is not equivalent modulo L to another point of A. We are interested in identifying lonely points for specific choices of L when A is a dilated standard simplex, and in conditions on L which ensure that the number of lonely points is unbounded as the simplex dilation goes to infinity.

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Maximilian Jaroschek, Manuel Kauers, Laura Kovacs. 2019-05-21. Lonely Points in Simplices. https://arxiv.org/abs/1905.08747

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