2 papers
math.NT2025
Algebraic independence of infinite series
Jaroslav Hancl, Mathias L. Laursen, Simon Kristensen
We give conditions on a finite set of series of rational numbers to ensure that they are algebraically independent. Specialising our results to polynomials of lower degree, we also…
math.NT2024
On a Theorem of Nathanson on Diophantine Approximation
Jaroslav Hančl, Tho Phuoc Nguyen
In 1974, M. B. Nathanson proved that every irrational number represented by a simple continued fraction with infinitely many elements greater than or equal to is approximab…