Published In

Annales Mathematiques Du Quebec

Document Type

Post-Print

Publication Date

10-13-2020

Abstract

In this computational paper we verify a truncated version of the Buzzard–Calegari conjecture on the Newton polygon of the Hecke operator T2 for all large enough weights. We first develop a formula for computing p-adic valuations of exponential sums, which we then implement to compute 2-adic valuations of traces of Hecke operators acting on spaces of cusp forms. Finally, we verify that if Newton polygon of the Buzzard–Calegari polynomial has a vertex at n≤15, then it agrees with the Newton polygon of T2 up to n.

Rights

This is a post-print originally published by Springer Nature, in Annales Mathematiques Du Quebec, October 2020. You can find the original version: https://doi.org/10.1007/s40316-020-00149-z

DOI

10.1007/s40316-020-00149-z

Persistent Identifier

https://archives.pdx.edu/ds/psu/34434

Available for download on Wednesday, October 13, 2021

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