Jonas Matuzas

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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…