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A NOTE ON FOURIER COEFFICIENTS OF POINCARÉ SERIES

Published online by Cambridge University Press:  21 December 2010

Emmanuel Kowalski
Affiliation:
ETH Zürich – D-MATH, Rämistrasse 101, 8092 Zürich, Switzerland (email: [email protected])
Abhishek Saha
Affiliation:
ETH Zürich – D-MATH, Rämistrasse 101, 8092 Zürich, Switzerland (email: [email protected])
Jacob Tsimerman
Affiliation:
Princeton University, Fine Hall, Princeton NJ 08540, U.S.A. (email: [email protected])
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Abstract

We give a short and “soft” proof of the asymptotic orthogonality of Fourier coefficients of Poincaré series for classical modular forms as well as for Siegel cusp forms, in a qualitative form.

Type
Research Article
Copyright
Copyright © University College London 2011

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References

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