Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.569301
Title: On the primality conjecture for certain elliptic divisibility sequences
Author: Phuksuwan, Ouamporn
Awarding Body: University of East Anglia
Current Institution: University of East Anglia
Date of Award: 2009
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Abstract:
This thesis is devoted to investigating some properties of the sequence (Wn) of the denominators. This is a divisibility sequence; that is, Wm | Wn whenever m | n. Our task here is to examine a conjecture on the number of prime terms in (Wn), well known as the Primality conjecture. We will prove that there is a uniform lower bound on n beyond such that all terms Wn have at least two distinct prime factors. In some cases, the bound is as low as n = 2.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.569301  DOI: Not available
Keywords: Elliptic curve, Integer sequence, Infinite orders, Tangent,
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