**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30840

##### Elliptic Divisibility Sequences over Finite Fields

**Authors:**
Ahmet Tekcan,
Betül Gezer,
Osman Bizim

**Abstract:**

**Keywords:**
Elliptic Curves,
Elliptic divisibility sequences,
singular elliptic divisibilitysequences,
singular curves

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1334960

**References:**

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[5] T. Koshy. Fibonacci and Lucas Numbers with Applications. John Wiley and Sons, 2001.

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[7] J.H. Silverman. The Arithmetic of Elliptic Curves. Sringer-Verlag, 1986.

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[9] J.H. Silverman and J. Tate. Rational Points on Elliptic Curves. Undergraduate Texts in Mathematics, Springer, 1992.

[10] C.S. Swart. Elliptic Curves and Related Sequences. PhD Thesis, Royal Holloway University of London, 2003.

[11] A. Tekcan, B. Gezer and O. Bizim. Some relations on Lucas numbers and their sums. Advanced Studies in Comtem. Maths. 15(2)(2007), 195- 211.

[12] A. Tekcan, A. O┬¿ zkoc┬©, B. Gezer and O. Bizim. Some Relations Involving the Sums of Fibonacci Numbers. Proc. of the Jangjeon Math. Soc. 11(1) (2008), 1-12.

[13] N.N. Vorobiev. Fibonacci Numbers. Birkhauser, Basel, Boston, 2002.

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