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Representation of large numbers by binary quadratic forms

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Abstract

Sufficient conditions of representability of a given integer by a fixed binary quadratic form are presented. It is shown that almost all integers satisfy these conditions. Bibliography: 2 titles.

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References

  1. B. M. Bredikhin and Yu. V. Linnik, “Asymptotic behavior and ergodic properties of solutions of the generalized Hardy-Littlewood equation”,Mat. Sb.,71, No. 2, 145–161 (1966).

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  2. M. B. Barban and P. P. Vekhov, “Summation of multiplicative functions of polynomials”,Mat. Zametki,5, 669–680 (1969).

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Authors
  1. E. P. Golubeva
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 226, 1996, pp. 60–64.

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Golubeva, E.P. Representation of large numbers by binary quadratic forms. J Math Sci 89, 951–954 (1998). https://doi.org/10.1007/BF02358531

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  • DOI: https://doi.org/10.1007/BF02358531

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