From the 1 of 5 linked papers with an AI index.
5 papers
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…
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…
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 on the round sphere , its Sasaki volume is the volume of its graph in the unit tangent bundle. Brito, Chacón and Naveira proved that th…
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…
A Non-Reciprocal Elliptic Spectral Solution of the Right-Angle Penetrable Wedge Transmission Problem for
Jonas Matuzas
We consider the two-dimensional time-harmonic transmission problem for an impedance-matched (Ï= 1) right-angle penetrable wedge at refractive index ratio ν= \sqrt{2}, in the inte…