Published In

Indagationes Mathematicae

Document Type

Pre-Print

Publication Date

4-1-2022

Subjects

Hecke operators of modular forms, Linear forms in logarithms, Trace formula

Abstract

We prove that the trace of the Hecke operator T2" role="presentation" style="box-sizing: border-box; margin: 0px; padding: 0px; display: inline-block; line-height: normal; font-size: 16.2px; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;">T2 acting on the vector space of cusp forms of level one takes no repeated values, except for 0, which only occurs when the space is trivial.

Description

This is the author’s version of a work. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document.

DOI

10.1016/j.indag.2022.03.005

Persistent Identifier

https://archives.pdx.edu/ds/psu/38381

Included in

Mathematics Commons

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