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THEOREM OF WARD ON SYMMETRIES OF ELLIPTIC NETS

Part of: Curves Arithmetic algebraic geometry Sequences and sets

Published online by Cambridge University Press:  04 October 2024

L. DEWAGHE Open the ORCID record for L. DEWAGHE [Opens in a new window]
L. DEWAGHE*
Affiliation:
Institut Polytechnique UniLaSalle, SYMADE, Campus Amiens, 14 quai de la somme, 80082 Amiens, France
*
e-mail: laurent.dewaghe@unilasalle.fr
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Abstract

We present a new version of a generalisation to elliptic nets of a theorem of Ward [‘Memoir on elliptic divisibility sequences’, Amer. J. Math. 70 (1948), 31–74] on symmetry of elliptic divisibility sequences. Our results cover all that is known today.

Keywords

elliptic curveelliptic divisibility sequencesdivision polynomialselliptic nets

MSC classification

Primary: 14H52: Elliptic curves
Secondary: 11B50: Sequences (mod $m$) 11B83: Special sequences and polynomials 11G05: Elliptic curves over global fields
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 111 , Issue 1 , February 2025 , pp. 93 - 106
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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References

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