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2010 Explicit Construction of the (13,13)-Regular Hypergraph
Alireza Sarveniazi, Stefan Wiedmann
Experiment. Math. 19(2): 237-242 (2010).

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 $\Gamma_f\setminus\Gamma(1)$.

Citation

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Alireza Sarveniazi. Stefan Wiedmann. "Explicit Construction of the (13,13)-Regular Hypergraph." Experiment. Math. 19 (2) 237 - 242, 2010.

Information

Published: 2010
First available in Project Euclid: 17 June 2010

zbMATH: 1243.11065
MathSciNet: MR2676750

Subjects:
Primary: 11B75, 11F72, 11R58, 20F65

Rights: Copyright © 2010 A K Peters, Ltd.

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Vol.19 • No. 2 • 2010
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