Trace formula in noncommutative geometry and the zeros of the Riemann zeta function

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77693We give a spectral interpretation of the critical zeros of the Riemann zeta function as an absorption spectrum, while eventual noncritical zeros appear as resonances. We give a geometric interpretation of the explicit formulas of number theory as a trace formula on the noncommutative space of Adele classes. This reduces the Riemann hypothesis to the validity of the trace formula and eliminates the parameter $δ$ of our previous approach.88 pagesNumber TheoryClassical Analysis and ODEs11MTrace formula in noncommutative geometry and the zeros of the Riemann zeta functiontext