Sequences associated to elliptic curves with non-cyclic torsion subgroup

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Gezer B.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.49, pp.1458-1470, 2020 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 49
• Publication Date: 2020
• Doi Number: 10.15672/hujms.464130
• Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
• Page Numbers: pp.1458-1470
• Bursa Uludag University Affiliated: Yes

Abstract

Let E be an elliptic curve defined over K given by a Weierstrass equation and let P = (x, y) is an element of E(K) be a point. Then for each n >= 1 we can write the x- and y-coordinates of the point [n]P as