Polynomial Identities on Eigenforms
Number Theory
2018-10-23 v2
Abstract
In this paper, we fix a polynomial with complex coefficients and determine the eigenforms for SL2(Z) which can be expressed as the fixed polynomial evaluated at other eigenforms. In particular, we show that when one excludes trivial cases, only finitely many such identities hold for a fixed polynomial.
Cite
@article{arxiv.1310.3879,
title = {Polynomial Identities on Eigenforms},
author = {Joseph Richey and Noah Shutty},
journal= {arXiv preprint arXiv:1310.3879},
year = {2018}
}
Comments
14 pages