Tesi etd-06242021-154900 |
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Tipo di tesi
Tesi di dottorato di ricerca
Autore
VERZOBIO, MATTEO
URN
etd-06242021-154900
Titolo
Primitive divisors of elliptic divisibility sequences
Settore scientifico disciplinare
MAT/02
Corso di studi
MATEMATICA
Relatori
tutor Prof. Dvornicich, Roberto
Parole chiave
- Recurrence sequences
- Elliptic divisibility sequences
- Primitive divisors
- Elliptic curves
Data inizio appello
30/06/2021
Consultabilità
Completa
Riassunto
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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