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Modular forms

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If you have a question about this talk, please contact Valentin Hübner.

We define what is classically meant by a ‘modular form’, which are certain holomorphic functions on upper half plane satisfying certain functional equations; and we give two ways of constructing it. By a key finite dimensionality result, we can deduce the exact number of writing a number as sum of four squares as an easy corollary.

This talk is part of the The Archimedeans (CU Mathematical Society) series.

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