A higher-rank Mersenne problem

Graham Everest, Peter Rogers, Thomas Ward

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
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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.
Original languageEnglish
Pages (from-to)95-107
Number of pages13
JournalANTS V
Volume2369
Publication statusPublished - 2002

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