Outputs (2)

A higher-rank Mersenne problem (2002)
Book Chapter
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

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... Read More about A higher-rank Mersenne problem.

Integer sequences and periodic points (2002)
Journal Article
Everest, G., van der Poorten, A., Puri, Y., & Ward, T. (2002). Integer sequences and periodic points. Journal of integer sequences, 5, Article 02.2.3

Arithmetic properties of integer sequences counting periodic points are studied, and applied to the case of linear recurrence sequences, Bernoulli numerators, and Bernoulli denominators.