3 papers
math.NT2025
Transcendence criteria for infinite products of algebraic numbers
Mathias L. Laursen
Using an application of Schmidt's Subspace Theorem, this paper gives new transcendence criteria for rapidly converging infinite products of algebraic numbers. The paper also improv…
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.NT2025
Infinite products with algebraic numbers
Simon Kristensen, Mathias Løkkegaard Laursen
We obtain general criteria for giving a lower bound on the degree of numbers of the form or of the form $\prod_{m=1}^\infty \lef…