Patrick Erik Bradley

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20242026

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math.NT2026

Hearing Tamagawa Factors modulo $q - 1$

Patrick Erik Bradley

The Tamagawa factor w.r.t.\ the prime $p$ of an abelian variety $A$ over a non- archimedean local field $K$ is found to be congruent modulo $q - 1$ to the wavelet eigenvalues of a…

math.NT2026

Boundary Value Problems on $p$ -Adic Analytic Manifolds

Patrick Erik Bradley

An account is given on newest developments on $p$ -adic boundary value problems on $p$ -adic analytic manifolds and their relationship with diffusion. In particular, novel coordinate…

math.NT2025

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

Patrick Erik Bradley, Ãngel MorÃ¡n 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 $I^_{0}^{s}$ 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 Tamagawa Factors modulo q−1

Boundary Value Problems on p-Adic Analytic Manifolds

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

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

Hearing Tamagawa Factors modulo $q - 1$

Boundary Value Problems on $p$ -Adic Analytic Manifolds

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