G. Everest
A higher-rank Mersenne problem
Everest, G.; Rogers, P.; Ward, T.
Authors
P. Rogers
T. Ward
Contributors
C. Fieker
Editor
D. Kohel
Editor
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.
Citation
Everest, G., Rogers, P., & Ward, T. (2002). A higher-rank Mersenne problem. In C. Fieker, & D. Kohel (Eds.), Algorithmic number theory (95-107). Springer Verlag. https://doi.org/10.1007/3-540-45455-1_8
Publication Date | 2002 |
---|---|
Deposit Date | Oct 12, 2012 |
Publicly Available Date | Mar 29, 2024 |
Publisher | Springer Verlag |
Pages | 95-107 |
Series Number | 2369 |
Book Title | Algorithmic number theory. |
DOI | https://doi.org/10.1007/3-540-45455-1_8 |
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Copyright Statement
The original publication is available at www.springerlink.com
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