Polynomial Identities on Eigenforms

Joseph Richey; Noah Shutty

doi:10.1016/j.jnt.2015.06.006

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arXiv · 1310.3879

Polynomial Identities on Eigenforms

Joseph Richey·Noah Shutty

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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.

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Joseph Richey, Noah Shutty. 2014-12-17. Polynomial Identities on Eigenforms. https://doi.org/10.1016/j.jnt.2015.06.006

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