2 papers
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.NT2025
The arithmetic of continued fractions in the field of -adic numbers
Giuliano Romeo, Giulia Salvatori
Continued fractions have been long studied due to their strong properties, such as rational approximation. In this extent, their arithmetic over real numbers has represented an int…