A higher-rank Mersenne problem

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Everest, Graham, Rogers, Peter and Ward, Thomas (2002) A higher-rank Mersenne problem. ANTS V, 2369. pp. 95-107.

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Abstract

The classical Mersenne problem has been a stimulating challenge to number theorists and computer scientists for many years. After briefly reviewing some of the natural settings in which this problem appears as a special case, we introduce an analogue of the Mersenne problem in higher rank, in both a classical and an elliptic setting. Numerical evidence is presented for both cases, and some of the difficulties involved in developing even a heuristic understanding of the problem are discussed.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
Related URLs:	http://www.zentralblatt-math.org/zmath/e...
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	15 Dec 2022 01:39
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19707
DOI:	10.1007/3-540-45455-1_8

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