Jonas Matuzas

collaborators

10 papers

math.GM2026

A quadratic critical-value conjecture for the fifth Bessel moment

Jonas Matuzas

We conjecture an explicit evaluation of the pure fifth Bessel moment $\int_{0}^{\infty} K_{0} (t)^{5} d t$ as a quadratic expression in the critical value $L (f, 2)$ of the weight-three, leve…

math-ph2026

Closed-form evaluation of the cyclic four-electron atomic correlation integral

Jonas Matuzas

For positive exponents $α_{1}, \dots, α_{4}$ we evaluate the cyclic four-electron Slater integral, the topology recorded as case V in Bonham's 1965 classification, in a finite real expr…

math.RT2026

Shifted poles and chamber cancellation for classical Witten zeta functions

Jonas Matuzas

We determine two infinite families of poles on the positive real axis for classical single-variable Witten zeta functions. In type $A_{r}$ , for $r \geq 5$ , the point $q_r^A = 2(r-4)/…

math.RT2026

Second-pole wall periods for Witten zeta functions in the classical families

Jonas Matuzas

Let Phi be an irreducible reduced crystallographic root system of rank r, and let N be the number of positive coroots. A previous theorem (arXiv:2608.16363, Theorem 3.3) identifies…

math.RT2026

The second pole of Witten zeta functions and exact evaluations in types F4 and D5

Jonas Matuzas

Let Phi be an irreducible reduced crystallographic root system of rank r at least 2, let N = |Phi^+| be the number of positive roots, and let h be its Coxeter number. For the norma…

math.RT2026

A universal leading-residue formula for Witten zeta functions

Jonas Matuzas

Let $Φ$ be an irreducible crystallographic root system of rank $r$ , with Coxeter number $h$ , Weyl group $W$ , Cartan matrix $C_{Φ}$ , and invariant degrees $2 = d_{1} \leq \dots \leq d_{r} = h$ .…

math.RT2026

Generic polar divisors and flag residues for root-system zeta functions

Jonas Matuzas

Let $Φ$ be an irreducible crystallographic root system, and let $Z_{Φ} (s)$ denote the untwisted Komori-Matsumoto-Tsumura zeta function with one exponent for each positive co…

math.DG2026

A strict gap above the Brito--Chacon--Naveira bound for the Sasaki volume on higher odd spheres

Jonas Matuzas

For a smooth unit vector field $V$ on the round sphere $S^{2 m + 1}$ , its Sasaki volume is the volume of its graph in the unit tangent bundle. Brito, Chacón and Naveira proved that th…

math-ph2026

A Non-Reciprocal Elliptic Spectral Solution of the Right-Angle Penetrable Wedge Transmission Problem

Jonas Matuzas

We study the two-dimensional time-harmonic scalar transmission problem for an impedance-matched penetrable right-angle wedge: the exterior medium has wavenumber k_0 and the interio…

math-ph2026

A Non-Reciprocal Elliptic Spectral Solution of the Right-Angle Penetrable Wedge Transmission Problem for $ν = 2$

Jonas Matuzas

We consider the two-dimensional time-harmonic transmission problem for an impedance-matched (ρ= 1) right-angle penetrable wedge at refractive index ratio ν= \sqrt{2}, in the integr…

A quadratic critical-value conjecture for the fifth Bessel moment

Closed-form evaluation of the cyclic four-electron atomic correlation integral

Shifted poles and chamber cancellation for classical Witten zeta functions

Second-pole wall periods for Witten zeta functions in the classical families

The second pole of Witten zeta functions and exact evaluations in types F4 and D5

A universal leading-residue formula for Witten zeta functions

Generic polar divisors and flag residues for root-system zeta functions

A strict gap above the Brito--Chacon--Naveira bound for the Sasaki volume on higher odd spheres

A Non-Reciprocal Elliptic Spectral Solution of the Right-Angle Penetrable Wedge Transmission Problem

A Non-Reciprocal Elliptic Spectral Solution of the Right-Angle Penetrable Wedge Transmission Problem for ν=2​

A Non-Reciprocal Elliptic Spectral Solution of the Right-Angle Penetrable Wedge Transmission Problem for $ν = 2$