A simplified proof of Ward's formula for elliptic sequences
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 84-87
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An elliptic divisibility sequence (EDS) is a sequence of integers satisfying a nonlinear recursion relation arising from division polynomials on elliptic curves. EDS were first defined, and their arithmetic properties studied, by Morgan Ward in the 1948. In particular he has proven an explicit formula for the general term of the sequence in terms of the Weierstrass sigma function. In the present paper we give a simplified proof of Ward's formula.
@article{DVMG_2019_19_1_a9,
author = {A. V. Ustinov},
title = {A simplified proof of {Ward's} formula for elliptic sequences},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {84--87},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a9/}
}
A. V. Ustinov. A simplified proof of Ward's formula for elliptic sequences. Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 1, pp. 84-87. http://geodesic.mathdoc.fr/item/DVMG_2019_19_1_a9/