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math.NT2017
On unbounded denominators and hypergeometric series
Cameron Franc, Terry Gannon, Geoffrey Mason
We study the question of when the coefficients of a hypergeometric series are p-adically unbounded for a given rational prime p. Our first main result is a necessary and sufficient…
math.NT2017
Vector bundles and modular forms for Fuchsian groups of genus zero
Luca Candelori, Cameron Franc
This article lays the foundations for the study of modular forms transforming with respect to representations of Fuchsian groups of genus zero. More precisely, we define geometrica…