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A higher-rank Mersenne problem.

Everest, G. and Rogers, P. and Ward, T. (2002) 'A higher-rank Mersenne problem.', in Algorithmic number theory. Berlin: Springer-Verlag, pp. 95-107.


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:Book chapter
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Record Created:12 Oct 2012 12:20
Last Modified:17 Oct 2012 10:28

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