A Higher-Rank Mersenne Problem

[1]  Igor E. Shparlinski,et al.  Elliptic divisibility sequences , 2003 .

[2]  M. Einsiedler,et al.  Entropy and the Canonical Height , 2001 .

[3]  M. Einsiedler,et al.  Primes in Elliptic Divisibility Sequences , 2001 .

[4]  Primes in Sequences Associated to Polynomials (After Lehmer) , 2000 .

[5]  Thomas Ward,et al.  Arithmetic and growth of periodic orbits , 1999, math/9907003.

[6]  P. Frampton,et al.  Mersenne primes, polygonal anomalies and string theory classification , 1999, hep-th/9904212.

[7]  Graham Everest,et al.  HEIGHTS OF POLYNOMIALS AND ENTROPY IN ALGEBRAIC DYNAMICS (Universitext) By G RAHAM E VEREST and T HOMAS W ARD : 212 pp., £35.00, ISBN 1 85233 125 9 (Springer, 1999). , 2000 .

[8]  Almost all $S$-integer dynamical systems have many periodic points , 1998, Ergodic Theory and Dynamical Systems.

[9]  Graham Everest,et al.  A Dynamical Interpretation of the Global Canonical Height on an Elliptic Curve , 1998, Exp. Math..

[10]  An Uncountable Family of Group Automorphisms, and a Typical Member , 1997 .

[11]  H. Koch,et al.  Basic Number Theory , 1997 .

[12]  D. Lind Ergodic Theory of ℤ d Actions: A zeta function for ℤd-actions , 1996 .

[13]  K. Schmidt Dynamical Systems of Algebraic Origin , 1995 .

[14]  J. Sampson Sophie Germain and the theory of numbers , 1990 .

[15]  Klaus Schmidt,et al.  Mahler measure and entropy for commuting automorphisms of compact groups , 1990 .

[16]  Samuel S. Wagstaff,et al.  The new mersenne conjecture , 1989 .

[17]  D. V. Chudnovsky,et al.  Computer assisted number theory with applications , 1987 .

[18]  D. Chudnovsky,et al.  Sequences of numbers generated by addition in formal groups and new primality and factorization tests , 1986 .

[19]  S. Wagstaff Divisors of Mersenne numbers , 1983 .

[20]  N. Koblitz p-adic Numbers, p-adic Analysis, and Zeta-Functions , 1977 .

[21]  S. Feigelstock Mersenne Primes and Group Theory , 1976 .

[22]  Donald B. Gillies,et al.  Three new Mersenne primes and a statistical theory , 1964 .

[23]  E. T. An Introduction to the Theory of Numbers , 1946, Nature.

[24]  D. H. Lehmer Factorization of Certain Cyclotomic Functions , 1933 .