Construction of Hermitian modular forms of genus two by cusp forms of genus one
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 51-67
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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.
@article{ZNSL_1985_144_a5,
author = {V. A. Gritsenko},
title = {Construction of {Hermitian} modular forms of genus two by cusp forms of genus one},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {51--67},
publisher = {mathdoc},
volume = {144},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a5/}
}
V. A. Gritsenko. Construction of Hermitian modular forms of genus two by cusp forms of genus one. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 51-67. http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a5/