2 papers
math.GM2025
From Bernoulli Numbers to Selector Kernels: Fredholm Determinants, ζ-Regularization, and the Bridge Between Discrete and Continuous Spectra
Ken Nagai
We construct a unified analytic framework connecting Bernoulli numbers, zeta-regularization, and Fredholm determinants associated with trigonometric selector kernels. Starting from…
math.GM2025
Trigonometric Selector Kernels, Duality, and Odd Zeta Values
Ken Nagai
In this short note, we develop trigonometric selector kernels to represent odd zeta values via dual hyperbolic counterparts. This framework highlights a Fourier-Poisson duality, in…