3 papers
math.NT2026
Transcendence of continued fractions over function fields and a quantitative version of Uchiyama's theorem
Federico Accossato, Nadir Murru, Giuliano Romeo +1
Given a field , let be the field of formal power series. Continued fractions in can be defined by analogy with classical real continued fractions and…
math.NT2026
Escalations and criteria over real quadratic fields
Jakub Krásenský, Giuliano Romeo
The famous 15-Theorem and 290-Theorem fully characterise universal quadratic forms over . Similar theorems exist for every totally real number field, but only over $\ma…
math.NT2023
On alternative definition of Lucas atoms and their -adic valuations
Gessica Alecci, Piotr Miska, Nadir Murru +1
Lucas atoms are irreducible factors of Lucas polynomials and they were introduced in \cite{ST}. The main aim of the authors was to investigate, from an innovatory point of view, wh…