3 papers
math.NT2023
Decomposable forms generated by linear recurrences
Kalman Gyory, Attila Petho, Laszlo Szalay
Consider distinct, linearly independent, homogeneous linear recurrences of order satisfying the same recurrence relation. We prove that the recurrences are related to…
math.NT2016
On nearly linear recurrence sequences
Shigeki Akiyama, Jan-Hendrik Evertse, Attila Pethő
A nearly linear recurrence sequence (nlrs) is a complex sequence with the property that there exist complex numbers ,, such that the sequence $\big(a…
math.NT2012
Simplest Cubic Number Fields
Franz Lemmermeyer, Attila Pethö
In this paper we intend to show that certain integers do not occur as the norms of principal ideals in a family of cubic fields studied by Cohn, Shanks, and Ennola. These results w…