Atıf İçin Kopyala
GEZER B.
MATHEMATICAL REPORTS, cilt.24, sa.4, ss.821-847, 2022 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
24
Sayı:
4
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Basım Tarihi:
2022
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Dergi Adı:
MATHEMATICAL REPORTS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
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Sayfa Sayıları:
ss.821-847
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Anahtar Kelimeler:
elliptic curves, rational points on elliptic curves, division polynomials, elliptic divisibility sequences, squares, cubes, INTEGRAL POINTS, DIVISION POLYNOMIALS, EXPLICIT VALUATIONS, SQUARES, TORSION, TERMS, CUBES
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Bursa Uludağ Üniversitesi Adresli:
Evet
Özet
Let E be an elliptic curve defined over a field K (with char(K) 2) given by a Weierstrass equation and let P = (x, y) is an element of E(K) be a point. Then for each n >= 1 and some gamma is an element of K* we can write the x- and y-coordinates of the point [n]P as [n]P = (phi(n)(P)/psi(2)(n)(P), omega(n)(P)/psi(3)(n)(P)) = (gamma(2)G(n)(P)/F-n(2)(P), gamma H-3(n)(P)/F-n(3)(P))