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Convergence exponent of a singular series for a multi-dimensional problem

L. G. Arkhipova, V. N. Chubarikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The exponent of convergence of a singular series in the asymptotical formula for the number of solutions to a multidimensional problem is obtained.

Key words: multivariate additive problem, asymptotics of the number of solutions to Diophantine equations system, singular series, exponent of convergence.

UDC: 511.3

Received: 27.04.2018

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2018, 73:5, 207–209

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