Thomas Krause

Rational directions as point masses: a window law and a first moment of angular Hecke L-functions for Q(√5)

In the integer lattice ℤ², a thin sector around a line of rational slope contains a whole line of lattice points through the origin, and these points produce a term that the area of the sector does not see (Waxman and Yesha, Monatsh. Math. 204 (2024)). This paper studies the same...

Blackbody Constants from Γ(s)ζ(s): Moments as Euler Products, a Transcendence Theorem for Spectral Peaks, and the Irrationality of Peak Ratios

The constants of equilibrium radiation fall into two kinds. Integrated quantities (energy density, photon number, pressure, entropy, mean photon energy) are Mellin moments of the occupation function and therefore values Γ(s)ζ(s); through the Euler product they carry every prime....

The Prime-Hyperoctahedron Witt Tower: Self-Similar Spectra from Primorial Residues

The Prime-Hyperoctahedron Witt Tower: Self-Similar Spectra from Primorial Residues (Version 3) The eight units modulo 30, {1, 7, 11, 13, 17, 19, 23, 29}, form the vertex set of the 16-cell, the four-dimensional cross-polytope β₄. The antipode v ↦ −v is realised as r ↦ 30 − r, and...