The Non-Vanishing of the Trace of T ₃

Authors

Liubomir Chiriac, Portland State UniversityFollow
Daphne Kurzenhauser, Portland State University
Erin Williams, Portland State University

Document Type

Post-Print

Publication Date

5-2024

Abstract

A generalized Lehmer conjecture predicts that, for every positive integer n, the trace of the Hecke operator T_n in level one does not vanish, unless the space of cusp forms acted upon is trivial. So far, this has only been established for n = 2. In this paper, we use p-adic methods to prove the statement for n = 3.

Rights

© 2024 MSP (Mathematical Sciences Publishers).

Locate the Document

10.2140/involve.2024.17.263

DOI

10.2140/involve.2024.17.263

Persistent Identifier

https://archives.pdx.edu/ds/psu/41977

Citation Details

Chiriac, Liubomir; Kurzenhauser, Daphne; and Williams, Erin, "The Non-Vanishing of the Trace of T ₃" (2024). Mathematics and Statistics Faculty Publications and Presentations. 396.
https://archives.pdx.edu/ds/psu/41977