Cyclic polytope of the simplest cubic fields

2020/11/09 by Cherubini, Giacomo, Yatsyna, Pavlo
#11K38 #11R16 #FOS: Mathematics #Metric Geometry (math.MG) #Number Theory (math.NT) #Primary 11P21 #Secondary 52B

paper · doi:10.48550/arxiv.2011.04326

Abstract

In this paper, we study dilation of cyclic polytopes with the vertices defined by a generator of the simplest cubic fields. In particular, for a specific range of values, we give a precise number of the contained lattice points.

Related

• Families of Cyclic Cubic Fields
• Ehrhart polynomials of cyclic polytopes
• On face numbers of neighborly cubical polytopes
• A Closer Look at Lattice Points in Rational Simplices
• Ehrhart polynomials of lattice-face polytopes