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The Maximal Prime Divisors of Linear Recurrences

Published online by Cambridge University Press:  20 November 2018

Morgan Ward
Morgan Ward*
Affiliation:
California Institute of Technology
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Let

(W): W0, W1,…, Wn,…

be a linear integral recurring sequence of order r ≥ 2; that is, a particular solution of the recurrence

(1.1) ,

where P1, P2,… , Pr ≠ 0 are integers, and the initial values W0, W1, … , Wr−1 are integers.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 455 - 462
Copyright
Copyright © Canadian Mathematical Society 1954

References

1. Ward, Morgan, The null divisors of linear recurring series, Duke Math. J., 2 (1936), 472–476.Google Scholar
2. Hall, Marshall, Divisors of second order sequences, Bull. Amer. Math. Soc, 43 (1937), 78–80.Google Scholar
3. Carmichael, R. D., On sequences of integers defined by recurrence relations, Quarterly J. Math.,45(1920), 343–372.Google Scholar