Geodesic
Binary problem. A spectral approach. II
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 178-194 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this part of the work the “small arcs” of Part I (volume 245 of this edition) are translated to the language of the spectral components of Laplace operator. The necessary estimate for its algebraic-arithmetic part, i.e., for finite dimensional classical spaces, is obtained. 
@article{ZNSL_1998_251_a12,
     author = {A. I. Vinogradov},
     title = {Binary problem. {A} spectral {approach.~II}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {178--194},
     year = {1998},
     volume = {251},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a12/}
}
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A. I. Vinogradov. Binary problem. A spectral approach. II. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 178-194. http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a12/