Faculty Publications

Fourier Coefficients Of Hilbert Cusp Forms Associated With Mixed Hilbert Cusp Forms

Document Type

Article

Journal/Book/Conference Title

Acta Mathematica Universitatis Comenianae

Volume

79

Issue

1

First Page

19

Last Page

29

Abstract

We express the Fourier coefficients of the Hilbert cusp form Lh* f associated with mixed Hilbert cusp forms f and h in terms of the Fourier coefficients of a certain periodic function determined by f and h. We also obtain an expression of each Fourier coefficient of Lh* f as an infinite series involving the Fourier coefficients of f and h.

Department

Department of Mathematics

Original Publication Date

2-23-2010

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