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mathematicsBook
We give an overview of two important families of divisibility sequences: the Lehmer--Pierce family (which generalise the Mersenne sequence) and the elliptic divisibility sequences. Recent computational work is described, as well as some of the mathematics behind these sequences
The authors present several lemmas and theorems on Mersenne’s prime numbers. Some theorems are new. ...
Marin Mersenne’s mathematical contributions helped paved the way for advances in mathematics. In thi...
AbstractIt is shown that there are finitely many perfect powers in an elliptic divisibility sequence...
In a paper of 1933, D.H. Lehmer continued Pierce's study of integral sequences associated to polynom...
Morgan Ward pursued the study of elliptic divisibility sequences initiated by Lucas, and Chudnovsky ...
In a paper of 1933, D.H. Lehmer continued Pierce's study of integral sequences associated to polynom...
Morgan Ward pursued the study of elliptic divisibility sequences initiated by Lucas, and Chudnovsky ...
30 pages, submittedWe consider a particular case of an analog for elliptic curves to the Mersenne pr...
An elliptic divisibility sequence, generated by a point in the image of a rational isogeny, is shown...
30 pages, submittedWe consider a particular case of an analog for elliptic curves to the Mersenne pr...
30 pages, submittedWe consider a particular case of an analog for elliptic curves to the Mersenne pr...
30 pages, submittedWe consider a particular case of an analog for elliptic curves to the Mersenne pr...
Elliptic divisibility sequences were first studied by Morgan Ward in 1948 [11]. These are integer se...
Marin Mersenne’s mathematical contributions helped paved the way for advances in mathematics. In thi...
We consider the appearance of primes in a family of linear recurrence sequences labelled by a posit...
The authors present several lemmas and theorems on Mersenne’s prime numbers. Some theorems are new. ...
Marin Mersenne’s mathematical contributions helped paved the way for advances in mathematics. In thi...
AbstractIt is shown that there are finitely many perfect powers in an elliptic divisibility sequence...
In a paper of 1933, D.H. Lehmer continued Pierce's study of integral sequences associated to polynom...
Morgan Ward pursued the study of elliptic divisibility sequences initiated by Lucas, and Chudnovsky ...
In a paper of 1933, D.H. Lehmer continued Pierce's study of integral sequences associated to polynom...
Morgan Ward pursued the study of elliptic divisibility sequences initiated by Lucas, and Chudnovsky ...
30 pages, submittedWe consider a particular case of an analog for elliptic curves to the Mersenne pr...
An elliptic divisibility sequence, generated by a point in the image of a rational isogeny, is shown...
30 pages, submittedWe consider a particular case of an analog for elliptic curves to the Mersenne pr...
30 pages, submittedWe consider a particular case of an analog for elliptic curves to the Mersenne pr...
30 pages, submittedWe consider a particular case of an analog for elliptic curves to the Mersenne pr...
Elliptic divisibility sequences were first studied by Morgan Ward in 1948 [11]. These are integer se...
Marin Mersenne’s mathematical contributions helped paved the way for advances in mathematics. In thi...
We consider the appearance of primes in a family of linear recurrence sequences labelled by a posit...
The authors present several lemmas and theorems on Mersenne’s prime numbers. Some theorems are new. ...
Marin Mersenne’s mathematical contributions helped paved the way for advances in mathematics. In thi...
AbstractIt is shown that there are finitely many perfect powers in an elliptic divisibility sequence...
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