Geodesic
Eisenstein's program and modular forms
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 2, Tome 479 (2019), pp. 160-170

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We give an identity for sum of the theta-series, related to an imaginary quadratic field. This sum is expressed in terms of a certain Eisenstein series. The obtained identity is used for a new proof of a formula, giving the exact number of integral points in a certain system of ellipses. Such formulas are interesting in view of relations to arithmetic Riemann–Roch theorems. 
@article{ZNSL_2019_479_a8,
     author = {A. L. Smirnov},
     title = {Eisenstein's program and modular forms},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {160--170},
     publisher = {mathdoc},
     volume = {479},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_479_a8/}
}
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A. L. Smirnov. Eisenstein's program and modular forms. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 2, Tome 479 (2019), pp. 160-170. http://geodesic.mathdoc.fr/item/ZNSL_2019_479_a8/