Computes 2-adic valuations via a new exponential sum formula to verify that the Buzzard-Calegari polynomial's Newton polygon matches that of T2 up to n=15 for sufficiently large weights.
Emerton , 2-adic modular forms of minimal slope , PhD thesis, Harvard University
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Newton Polygons of Hecke Operators
Computes 2-adic valuations via a new exponential sum formula to verify that the Buzzard-Calegari polynomial's Newton polygon matches that of T2 up to n=15 for sufficiently large weights.