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Representation of large numbers by positive ternary quadratic forms of a special type

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Abstract

For the Diophantine equation

one gives explicit sufficient solvability conditions and one gives a hypothetical principal term of the asymptotics of the number of solutions. It is shown that these conditions hold for a sequence of values ofn of positive density and for thesen one gives an order exact estimate from below for the number of solutions.

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Literature cited

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Authors
  1. E. P. Golubeva
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 125, pp. 36–46, 1983.

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Golubeva, E.P. Representation of large numbers by positive ternary quadratic forms of a special type. J Math Sci 26, 2322–2329 (1984). https://doi.org/10.1007/BF01680011

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  • DOI: https://doi.org/10.1007/BF01680011

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