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On the differential transcendentality of the Morita p-adic gamma function

Published 23 Sep 2021 in math.NT | (2109.11448v1)

Abstract: In this note we prove that for any given prime number $p$ the Morita $p$-adic gamma function $\Gamma_p$ is differentially transcendental over $\mathbb{C}_p(X)$.

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