asymptotic representation counting 1coxeter groups 1crystallographic root systems 1gamma product formulas 1witten zeta functions 1
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math.RT2026
Generic polar divisors and flag residues for root-system zeta functions
Jonas Matuzas
Let be an irreducible crystallographic root system, and let denote the untwisted Komori-Matsumoto-Tsumura zeta function with one exponent for each positive…
math.RT2026
A universal leading-residue formula for Witten zeta functions
Jonas Matuzas
The paper proves a universal formula for the leading residue of Au’s normalized Witten zeta function attached to any irreducible crystallographic root system and uses it to give ex…