## Experimental Mathematics

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

#### Abstract

In this article we calculate explicitly the Ramanujan $(13,13)$-regular hypergraph introduced in Sarveniazi, "Explicit Construction of a Ramanujan $(n\sb1,n\sb 2,\dotsc,n\sb {d-1})$-Regular Hypergraph,'' Duke Math. J. 139:1 (2007), 141--171 using the computer algebra programs "Magma" and "Octave". This simple structure represents a nice and arithmetically very rich object in number theory, namely $\Gamma_f\setminus\Gamma(1)$.

#### Article information

Source
Experiment. Math., Volume 19, Issue 2 (2010), 237-242.

Dates
First available in Project Euclid: 17 June 2010

https://projecteuclid.org/euclid.em/1276784792

Mathematical Reviews number (MathSciNet)
MR2676750

Zentralblatt MATH identifier
1243.11065

Keywords
Ramanujan-Hypergraph building

#### Citation

Sarveniazi, Alireza; Wiedmann, Stefan. Explicit Construction of the (13,13)-Regular Hypergraph. Experiment. Math. 19 (2010), no. 2, 237--242. https://projecteuclid.org/euclid.em/1276784792