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Anne-Maria Ernvall-Hytönen: On cusp forms, Fourier coefficients and exponential sums

Anne-Maria Ernvall-Hytönen, KTH

Time: Wed 2009-10-21 13.15 - 14.15

Location: Room 3721, department of mathematics, KTH, Lindstedtsvägen 25, 7th floor

Contact:

Håkan Hedenmalm 08-790 7832

Subject area: Analysis and dynamical systems

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I will briefly talk about modular forms in general, and cusp forms in particular. I will concentrate on exponential sums of their Fourier coefficients, and tell what we can say about them (both in theory and in practice: I will show some theorems and some pictures about computations), and I also try to explain why certain problems are extremely difficult.