arXiv subjects

Topi Törmä

Publications and source records attributed to Topi Törmä.

2 recordsLinked to original sources

arXiv2016

Rational approximations of the exponential function at rational points

We give explicit and asymptotic lower bounds for the quantity $|e^{s/t}-M/N|$ by studying a generalized continued fraction expansion of $e^{s/t}$. In cases $|s|\geq 3$ we improve existing results by extracting a large common factor from the numerators and the denominators of the convergents of that generalized continued fraction.

math.NT↗

arXiv2014

On irrationality exponents of generalized continued fractions

We study how the asymptotic irrationality exponent of a given generalized continued fraction \[ \K_{n=1}^\infty \frac{a_n}{b_n}\,,\quad a_n, b_n\in \mathbb{Z}^+, \] behaves as a function of growth properties of partial coefficient sequences $(a_n)$ and $(b_n)$.

math.NT↗