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Counting divisors of
Lucas numbers
Pieter Moree |
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Vol. 186 (1998), No. 2, 267–284
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Abstract |
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The Lucas numbers Ln are defined by L0 = 2, L1 = 1 and the recurrence Ln = Ln−1 + Ln−2. An estimate for the number of m ≤ x such that m divides some Lucas number is established. This estimate has error of order xlog 𝜖−1x for every 𝜖 > 0. |
Milestones
Received: 3 June 1997
Revised: 9 February 1998
Published: 1 December 1998
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Authors |
| Pieter Moree | |
| Max-Planck-Institut für
Mathematik Gottfried-Claren Straße 26 53225 Bonn, Germany |
Faculteit WINS Universiteit van Amsterdam 1018 TV Amsterdam The Netherlands |
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