Geodesic
Cubic symplectic theta-functions
Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part III, Tome 162 (1987), pp. 186-188

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The existence of two cubic theta-functions defined on $Sp(4,\mathbb{C})/Sp(4)$ is announced. 
@article{ZNSL_1987_162_a6,
     author = {N. V. Proskurin},
     title = {Cubic symplectic theta-functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {186--188},
     publisher = {mathdoc},
     volume = {162},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_162_a6/}
}
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N. V. Proskurin. Cubic symplectic theta-functions. Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part III, Tome 162 (1987), pp. 186-188. http://geodesic.mathdoc.fr/item/ZNSL_1987_162_a6/