Fourier coefficients of Hilbert cusp forms
associated to mixed Hilbert cusp forms
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1
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We express the Fourier coefficients of the Hilbert cusp form body L h * associated to 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 L h * as an infinite series involving the Fourier coefficients of f and h . <br><B>Keywords</b>: quadratic forms; splitting polynomials; formal derivatives; finite fields; characteristic 2. <br><br>