7 citations · 14 across the 12 of their papers we have counts for
14 papers
On Galois Embedding Problems Arising from 3-Torsion of Elliptic Curves
José-A. Gálvez, Joan-C. Lario
We study Galois embedding problems arising from the 3-torsion of elliptic curves defined over , extending the correspondence to all possible images of mod 3 Galois repr…
Faltings elliptic curves in twisted -isogeny classes
Enrique González-Jiménez, Joan-C. Lario
Let be the graph attached to the -isogeny class of an elliptic curve defined over : that is, a vertex for every elliptic curve defined over in…
Ruler and compass constructions in the Lemniscate and the 17-gon
Mariángeles Gómez-Molleda, Joan-C. Lario
We present several ruler and compass practical geometric constructions that can be performed in the lemniscate curve. To be precise, we provide recipes for halving, doubling, addin…
Diophantine stability for curves over finite fields
Francesc Bars, Joan Carles Lario, Brikena Vruoni
We carry out a survey on curves defined over finite fields that are Diophantine stable; that is, with the property that the set of points of the curve is not altered under a proper…
Periodicity of power Fibonacci sequences modulus a Fibonacci number
Josep M. Brunat, Joan-C. Lario
Let be the sequence of Fibonacci numbers, and and be non negative integers. We study the periodicity of the power Fibonacci sequences ${\mathcal…
A problem on concatenated integers
Josep M. Brunat, Joan-Carles Lario
Motivated by a WhattsApp message, we find out the integers such that , where means the concatenation of the strings of…