Patrick Erik Bradley

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math.NT2025

Hearing the Serre invariant of a compact $p$ -adic analytic manifold

Patrick Erik Bradley, Ángel Morán Ledezma

Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact $p$ -adic analytic manifold $X$ , one such operator $Δ_{0}^{s}$ with $s\in\mathds{R}…

math.NT2024

Schottky invariant diffusion on the transcendent p-adic upper half plane

Patrick Erik Bradley

The transcendent part of the Drinfeld p-adic upper half plane is shown to be a Polish space. Using Radon measures associated with regular differential 1-forms invariant under Schot…

Hearing the Serre invariant of a compact p-adic analytic manifold

Schottky invariant diffusion on the transcendent p-adic upper half plane

Hearing the Serre invariant of a compact $p$ -adic analytic manifold