Eigenform

In mathematics, an eigenform (meaning simultaneous Hecke eigenform with modular group SL(2,Z)) is a modular form that is an eigenvector for all Hecke operators Tm, m = 1, 2, 3, ....

Eigenforms fall into the realm of number theory, but can be found in other areas of math and science such as analysis, combinatorics, and physics. Common examples of eigenforms, and the only non-cuspidal eigenforms, are those of the Eisenstein series. Another example is the Δ function.

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