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Mathematics Seminar

Tuesday, February 28, 2017 - 15:30
Seminar Room, SMS
Professor Y. Martin
Universidad de Chile, Santiago
On an integral kernel for twisted Koecher-Maass series associated to Siegel cusp forms of degree two

 We give an explicit formula for the integral kernel of the twistedKoecher-Maass series associated to a degree two Siegel cusp form F, where the twist is realized by any Maass waveform whose eigenvalue is in the continuum spectrum. From such a kernel we deduce the analytic properties of those twisted Koecher-Maassseries, and show how the later can be expressed in terms of Dirichlet series associated to the Fourier-Jacobi coefficients of $F$. 

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