### A higher degree Weierstrass function

Heilbronn Number Theory Seminar

16th October 2024, 4:00 pm – 5:00 pm

Fry Building, 4th Floor Seminar Room

The Weierstrass p-function plays a great role in the classic theory of complex elliptic curves. A related function, the Weierstrass zeta-function, is used by Guerzhoy to construct harmonic Maass forms that are preimages under the xi-operator of newforms of weight 2, corresponding to elliptic curves. In this talk, I will discuss a generalization of the Weierstrass zeta-function and an application to harmonic Maass forms. This is based on joint work with C. Alfes-Neumann, J. Funke and M. Mertens.

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