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math.NT2021
Purely arithmetic PDE's over a p-adic field I: delta-characters and delta-modular forms
Alexandru Buium, Lance Edward Miller
A formalism of arithmetic partial differential equations (PDEs) is being developed in which one considers several arithmetic differentiations at one fixed prime. In this theory sol…
math.AC2021★ 1 cited
Generalized -depth and graded nilpotent singularities
Kyle Maddox, Lance Edward Miller
We address explicit constructions of new variants of -nilpotent singularities. In particular, we explore how (generalized) weakly -nilpotent singularities behave under gluing…