Thesis etd-06242021-154900 |
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Thesis type
Tesi di dottorato di ricerca
URN
etd-06242021-154900
Thesis title
Primitive divisors of elliptic divisibility sequences
Academic discipline
MAT/02 - ALGEBRA
Course of study
MATEMATICA
Supervisors
.
tutor Prof. Dvornicich, Roberto
Keywords
- Elliptic curves
- Elliptic divisibility sequences
- Primitive divisors
- Recurrence sequences
Graduation session start date
30/06/2021
Availability
Full
Abstract (Inglese)
Abstract (Italiano)
Elliptic divisibility sequences have been introduced by Ward, in 1948. The terms of an elliptic divisibility sequence represent the denominators of the abscissas of the iterates of a point on an elliptic curve. The aim of this thesis is to understand when a term of an elliptic divisibility sequence has a primitive divisor. In the thesis, we prove some explicit results, some uniform results, and we will focus on some particular examples. Moreover, we will study a class of sequences strictly related to elliptic divisibility sequences.
File
| Nome file | Dimensione |
|---|---|
| abfile.pdf | 114.15 Kb |
| phd_final.pdf | 3.14 Mb |
| summarya...ities.pdf | 47.28 Kb |
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