Kalle Leppälä

activity

20142025

collaborators

3 papers

math.PR2025

On raw moments of the binomial distribution

Kalle Leppälä

We study the $k$ :th raw moment of a variable $R$ following the binomial distribution $B (n, p)$ , where $n / k \to β > 0$ . It is known that $E (R^{k})$ is bounded b…

math.NT2016

Rational approximations of the exponential function at rational points

Kalle Leppälä, Tapani Matala-aho, Topi Törmä

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 e…

math.NT2014

On irrationality exponents of generalized continued fractions

Jaroslav Hancl, Kalle Leppälä, Tapani Matala-aho +1

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 fu…