Tobias Kyrion

activity

20162025

most citedRecurrence Relations for Values of the Riemann Zeta Function in Odd Integers

1 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

math.GM2025

Recurrence Relations for $β (2 k)$ and $ζ (2 k + 1)$

Tobias Kyrion

In this work we study integrals of the form $\int_{0}^{\infty} \frac{\tanh(x)}{x} \sech(x)^{L} \exp(-Tx) dx, \quad T \in \mathbb{R}_{\geq 0}.$ We show that they can be represented…

math.GM2020

A closed-form expression for $ζ (3)$

Tobias Kyrion

In this work we show $ζ (3) = 4 π^{2} ln (B)$ with the Bendersky-Adamchik constant $B$ .

math.NT2020★ 1 cited

Recurrence Relations for Values of the Riemann Zeta Function in Odd Integers

Tobias Kyrion

It is commonly known that $ζ (2 k) = q_{k} \frac{ζ ( 2 k + 2 )}{π ^{2}}$ with known rational numbers $q_{k}$ . In this work we construct recurrence relations of the form $\sum_{k = 1}^{\infty…

math.NA2016

Reconstruction of Refractive Indices from Spectral Measurements of Monodisperse Aerosols

Tobias Kyrion

For the investigation of two-component aerosols one needs to know the refractive indices of the two aerosol components. One problem is that they depend on temparature and pressure,…

math.NA2016★ 1 cited

Robust Inversion Methods for Aerosol Spectroscopy

Tobias Kyrion, Graham Alldredge

The Fast Aerosol Spectrometer (FASP) is a device for spectral aerosol measurements. Its purpose is to safely monitor the atmosphere inside a reactor containment. First we describe…

Recurrence Relations for β(2k) and ζ(2k+1)

A closed-form expression for ζ(3)

Recurrence Relations for Values of the Riemann Zeta Function in Odd Integers

Reconstruction of Refractive Indices from Spectral Measurements of Monodisperse Aerosols

Robust Inversion Methods for Aerosol Spectroscopy

Recurrence Relations for $β (2 k)$ and $ζ (2 k + 1)$

A closed-form expression for $ζ (3)$