Explicit Construction of the (13,13)-Regular Hypergraph
Sarveniazi, Alireza ; Wiedmann, Stefan
Experiment. Math., Tome 19 (2010) no. 1, p. 237-242 / Harvested from Project Euclid
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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 $\Gamma_f\setminus\Gamma(1)$.
Publié le : 2010-05-15
Classification:  Ramanujan-Hypergraph,  building,  11B75,  11F72,  11R58,  20F65 
@article{1276784792,
     author = {Sarveniazi, Alireza and Wiedmann, Stefan},
     title = {Explicit Construction of the (13,13)-Regular Hypergraph},
     journal = {Experiment. Math.},
     volume = {19},
     number = {1},
     year = {2010},
     pages = { 237-242},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1276784792}
}

Sarveniazi, Alireza; Wiedmann, Stefan. Explicit Construction of the (13,13)-Regular Hypergraph. Experiment. Math., Tome 19 (2010) no. 1, pp.  237-242. http://gdmltest.u-ga.fr/item/1276784792/