Abstract
An asymptotic formula for the number of points of an arbitrary lattice in the hyperbolic cross is obtained.
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E. Titchmarsh,The Theory of the Riemann Zeta-Function, 2nd Edition, Oxford (1986).
N. M. Dobrovol'skii and A. L. Roshchenya, “Number of lattice points in the hyperbolic cross,” in:The IIInternational Conference “Algebraic, Probabilistic, Geometric, Combinatorial, and Functional Methods in Number Theory” [in Russian], Summaries of reports, Voronezh State University, Voronezh (1995), p. 53.
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Translated fromMatematicheskie Zametki, Vol. 63, No. 3, pp. 363–369, March, 1998.
The authors wish to thank Professors N. M. Korobov and V. I. Nechaev for their attention and useful discussions.
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Dobrovol'skii, N.M., Roshchenya, A.L. Number of lattice points in the hyperbolic cross. Math Notes 63, 319–324 (1998). https://doi.org/10.1007/BF02317776
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DOI: https://doi.org/10.1007/BF02317776