Tobias Kyrion

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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

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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 $B$ .

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

A closed-form expression for ζ(3)

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

A closed-form expression for $ζ (3)$