Explicit Construction of the (13, 13)-Regular Hypergraph

Abstract

In this article we calculate explicitly the Ramanujan (13, 13)-regular hypergraph introduced in [Sarveniazi 07] using the computer algebra programs MAGMA and OCTAVE. This simple structure represents a nice and arithmetically very rich object in number theory, namely Γf \ Γ(1).

Keywords:

• 11B75, 11F72, 11R58, 20F65
• Ramanujan-Hypergraph
• building