Geodesic
On the identity between the fourth power of Riemann theta-constant of genus~2 and Eisenstein series
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 158-168

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The identity between Siegel theta-series of genus 2, associated with the identity matrix $4\times4$ and the corresponding Eisenstein–Siegel series is proved. 
@article{ZNSL_1979_91_a11,
     author = {O. M. Fomenko},
     title = {On the identity between the fourth power of {Riemann} theta-constant of genus~2 and {Eisenstein} series},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {158--168},
     publisher = {mathdoc},
     volume = {91},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a11/}
}
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O. M. Fomenko. On the identity between the fourth power of Riemann theta-constant of genus~2 and Eisenstein series. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 158-168. http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a11/