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math.NT2024
Theta-Induced Diffusion on Tate Elliptic Curves over Non-Archimedean Local Fields
Patrick Erik Bradley
A diffusion operator on the -rational points of a Tate elliptic curve is constructed, where is a non-archimedean local field, as well as an operator on the Berkovich-a…
math.NT2024
Heat Equations and Hearing the Genus on p-adic Mumford Curves via Automorphic Forms
Patrick Erik Bradley
A self-adjoint operator is constructed on the -functions on the -rational points of a Mumford curve defined over a non-archimedean local field . It generates…