Abstract
One constructs an integral operator, mapping the cusp modular forms of one variable into modular forms relative to Hermitian groups of genus 2 over an imaginary quadratic field. One computes explicitly the Fourier coefficients of the obtained forms.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 144, pp. 51–67, 1985.
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Gritsenko, V.A. Construction of hermitian modular forms of genus 2 from cusp forms of genus 1. J Math Sci 38, 2065–2078 (1987). https://doi.org/10.1007/BF01474440
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DOI: https://doi.org/10.1007/BF01474440