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math.NT2020
Integral Points on Elliptic Curves and Modularity
Federico Amadio Guidi
In this paper we prove the finiteness of the set of S-integral points of a punctured rational elliptic curve without complex multiplication using the Chabauty-Kim method. This exte…
math.NT2018★ 2 cited
Fractional jumps: complete characterisation and an explicit infinite family
Federico Amadio Guidi, Giacomo Micheli
In this paper we provide a complete characterisation of transitive fractional jumps by showing that they can only arise from transitive projective automorphisms. Furthermore, we pr…
math.NT2017★ 5 cited
Full Orbit Sequences in Affine Spaces via Fractional Jumps and Pseudorandom Number Generation
Federico Amadio Guidi, Sofia Lindqvist, Giacomo Micheli
Let be a positive integer. In this paper we provide a general theory to produce full orbit sequences in the affine -dimensional space over a finite field. For our cons…