Corrigendum: Elliptic Curves and Quadratic Recurrence Sequences |
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Authors: | Hone A N W |
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Institution: | Institute of Mathematics, Statistics & Actuarial Science, University of Kent Canterbury CT2 7NF, United Kingdom anwh{at}kent.ac.uk |
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Abstract: | The statement of the numerical values and z0 on page 167 of1, Section 3] contained an error. The values that were actuallyused were (to nine decimal places):
thesebeing shifted, by the periods 21 and 23 respectively, comparedwith the values given in 1] (with 1 = 1.496729323 and 3 = 1.225694691i).With 0 = 1 and (z) denoting the sigma function (z; g2, g3) withinvariants g2 = 4, g3 = 1 associated with the ellipticcurve given by equation (3.2), these values of and z0 yield
and the latter three values all agreewith those stated in the paper (apart from rounding down thelast digit in the imaginary part of A). 2000 Mathematics SubjectClassification 11B37 (primary), 33E05, 37J35 (secondary). |
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