The distribution of second order linear recurrence sequences mod $2^m$

• Autorzy: Mark D. Morgan
• Języki publikacji: EN

Słowa kluczowe

EN

Fibonacci numbers; Lucas numbers; linear recurring sequences

Kategorie tematyczne

• 11B39: Fibonacci and Lucas numbers and polynomials and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 83
• Numer: 2
• Strony: 181-195

Daty

wydano

1998

otrzymano

1997-05-05

Twórcy

autor

Mark D. Morgan

• Department of Mathematics, University of Maryland, College Park, Maryland 20742, U.S.A.

Bibliografia

• [1] R. P. Brent, On the periods of generalized Fibonacci recurrences, Math. Comp. 63 (1994), 207.
• [2] W. Carlip and E. Jacobson, A criterion for stability of two-term recurrence sequences modulo $2^k$, Finite Fields Appl. 2 (1996), 369-406.
• [3] W. Carlip and E. Jacobson, Unbounded stability of two-term recurrence sequences modulo $2^k$, Acta Arith. 74 (1996), 329-346.
• [4] E. Jacobson, Distribution of the Fibonacci numbers mod $2^k$, Fibonacci Quart. 30 (1992), 211-215.
• [5] L. Kuipers and J. Shiue, A distribution property of the sequence of Fibonacci numbers, Fibonacci Quart. 10 (1972), 375-376.
• [6] H. Niederreiter, Distribution of Fibonacci numbers mod $5^k$, Fibonacci Quart. 10 (1972), 373-374.