Binary problem. A spectral approach.~III
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 195-214

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In this final part of the work the necessary estimates for the discrete and conditions components of the “small arcs” of the binary Goldbach equation are obtained. The estimate of all three parts (Part I in volume 245, and Part II in this volume) of the work are summed up.
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A. I. Vinogradov. Binary problem. A spectral approach.~III. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 195-214. http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a13/