Luc Ramsès Talla Waffo

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math.NT2026

Algebraic representatives of the ratios $ζ (2 n + 1) / π^{2 n}$ and $β (2 n) / π^{2 n - 1}$

Luc Ramsès Talla Waffo

In \cite{TallaWaffo2025arxiv2511.02843} we introduced even polynomials $Ξ_{n}, Λ_{n} \in Q [x]$ arising from integral representations of $β (2 n) / π^{2 n - 1}$ and $ζ (2 n + 1) / π^{2 n}$ . In…

math.NT2026

The Mellin's transforms of $\frac{1}{arctanh x}$ and $\frac{1}{1 - x ^{2} arctanh x}$

Luc Ramsès Talla Waffo

We investigate the Mellin transforms of $1/\operatorname{arctanh} x$ and $1/(\sqrt{1-x^{2}}\,\operatorname{arctanh} x)$, viewed as compactly supported functions on $(0,1)$. T…

math.NT2025

Perspectives on the arithmetic nature of the ratios $ζ (2 n + 1) / π^{2 n + 1}$ and $β (2 n) / π^{2 n}$

Luc Ramsès Talla Waffo

We investigate the values of the Riemann zeta function at odd integers and the Dirichlet beta function at even integers, by collecting several distinct analytic frameworks convergi…

Algebraic representatives of the ratios ζ(2n+1)/π2n and β(2n)/π2n−1

The Mellin's transforms of arctanhx1​ and 1−x2​arctanhx1​

Perspectives on the arithmetic nature of the ratios ζ(2n+1)/π2n+1 and β(2n)/π2n

Algebraic representatives of the ratios $ζ (2 n + 1) / π^{2 n}$ and $β (2 n) / π^{2 n - 1}$

The Mellin's transforms of $\frac{1}{arctanh x}$ and $\frac{1}{1 - x ^{2} arctanh x}$

Perspectives on the arithmetic nature of the ratios $ζ (2 n + 1) / π^{2 n + 1}$ and $β (2 n) / π^{2 n}$