Continued fractions in the field of 𝑝-adic numbers
G Romeo - Bulletin of the American Mathematical Society, 2024 - ams.org
Continued fractions have a long history in number theory, especially in the area of
Diophantine approximation. The aim of this expository paper is to survey the main results on …
Diophantine approximation. The aim of this expository paper is to survey the main results on …
Real convergence and periodicity of -adic continued fractions
G Romeo - arXiv preprint arXiv:2410.09215, 2024 - arxiv.org
Continued fractions have been generalized over the field of $ p $-adic numbers, where it is
still not known an analogue of the famous Lagrange's Theorem. In general, the periodicity of …
still not known an analogue of the famous Lagrange's Theorem. In general, the periodicity of …
Graphs and pairings of elliptic curves
M Mula - 2024 - iris.unitn.it
Most isogeny-based cryptosystems ultimately rely, for their security, on ℓ-IsoPath, ie the
problem of finding a secret ℓ-smooth isogeny between two elliptic curves. As cryptographic …
problem of finding a secret ℓ-smooth isogeny between two elliptic curves. As cryptographic …