Fourier coefficients of Hilbert cusp forms associated to mixed Hilbert cusp forms Min Ho Lee Received: August 8, 2008; Accepted: April 15, 2009 Abstract. We express the Fourier coefficients of the Hilbert cusp form body Lh* 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 Lh* as an infinite series involving the Fourier coefficients of f and h. AMS Subject classification: Primary: 11F41; Version to read: PDF ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |