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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…