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math.MG2022
Bounds for sets with few distances distinct modulo a prime ideal
Hiroshi Nozaki
Let be the ring of integers of an algebraic number field embedded into . Let be a subset of the Euclidean space , and be th…
math.MG2020
A proof of a Dodecahedron conjecture for distance sets
Hiroshi Nozaki, Masashi Shinohara
A finite subset of a Euclidean space is called an -distance set if there exist exactly values of the Euclidean distances between two distinct points in the set. In this pape…
math.MG2009★ 2 cited
A generalization of Larman-Rogers-Seidel's theorem
Hiroshi Nozaki
A finite set X in the d-dimensional Euclidean space is called an s-distance set if the set of Euclidean distances between any two distinct points of X has size s. Larman--Rogers--S…