Luc Ramsès Talla Waffo

collaborators

10 papers

math.GM2026

Higher-order tangent and secant numbers, special-value integrals, and a common zero attractor

Luc Ramsès Talla Waffo

We study two families of coefficients associated with powers of the tangent function and with products of the secant and tangent functions, and develop a unified treatment of the c…

math.GM2026

From Umbral Hyperbolic Integrals to a Cotangent Coefficient Formula for the Mittag Leffler Polynomials

Luc Ramsès Talla Waffo

Let $g_n(x)$ be the Mittag--Leffler polynomials defined by $n \geq 0 \sum g_{n} (x) t^{n} = \frac{1}{2} (\frac{1 + t}{1 - t})^{x} .$ We derive the coefficient formula $$ g_n(x)=\frac1n\…

math.GM2026

Dirichlet Beta Analogues, Sign Alternation, and Lerch Unification of Hyperbolic and Logarithmic Tangent Integrals

Luc Ramsès Talla Waffo

We develop a Dirichlet-beta counterpart and a structural extension of the coefficient-extraction framework for hyperbolic and logarithmic tangent integrals. For integers $m\geq n\g…

math.GM2026

Compact Coefficient Formulae for Logarithmic Tangent and Hyperbolic Integrals

Luc Ramsès Talla Waffo

We develop compact coefficient-extraction formulae for several families of hyperbolic, logarithmic tangent, and Malmsten-type integrals whose values are finite linear combinations…

math.GM2026

Right edge rates of the zeros of $Ξ_{n}$ and $Λ_{n}$

Luc Ramsès Talla Waffo

We consider the two families of even polynomials $Ξ_{n}$ and $Λ_{n}$ studied in~\cite{TallaWaffo2026arxiv2602.16761}, together with the rescaled polynomials $\widetildeΞ_n(x):=Ξ_n(\sqr…

math.GM2026

Structure and Zero Asymptotics of Differential Operators Associated with $Ξ_{n}$ and $Λ_{n}$

Luc Ramsès Talla Waffo

We study the second-order differential operators $\mathcal D_Ξ$ and $\mathcal D_Λ$ associated with the rescaled polynomial families $(\widetildeΞ_n)$ and $(\widetildeΛ_n)$,…

math.GM2026

Asymptotic zero distribution of the polynomials $Ξ_{n}$

Luc Ramsès Talla Waffo

We consider the polynomials $Ξ_{n}$ introduced in~\cite{TallaWaffo2025arxiv2511.02843} and studied in further details in\cite{TallaWaffo2026arxiv2602.16761}, which are expressed in t…

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…

Higher-order tangent and secant numbers, special-value integrals, and a common zero attractor

From Umbral Hyperbolic Integrals to a Cotangent Coefficient Formula for the Mittag Leffler Polynomials

Dirichlet Beta Analogues, Sign Alternation, and Lerch Unification of Hyperbolic and Logarithmic Tangent Integrals

Compact Coefficient Formulae for Logarithmic Tangent and Hyperbolic Integrals

Right edge rates of the zeros of Ξn​ and Λn​

Structure and Zero Asymptotics of Differential Operators Associated with Ξn​ and Λn​

Asymptotic zero distribution of the polynomials Ξn​

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

Right edge rates of the zeros of $Ξ_{n}$ and $Λ_{n}$

Structure and Zero Asymptotics of Differential Operators Associated with $Ξ_{n}$ and $Λ_{n}$

Asymptotic zero distribution of the polynomials $Ξ_{n}$

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 $β (2 n) / π^{2 n}$