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The application of the Shimura lifting to the representation of large numbers of ternary quadratic forms

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Abstract

One obtains an asymptotic formula for the number of the representations of numbers, divisible by a large square, by a positive ternary integral quadratic form. One gives an estimate of the remainder, unimprovable with respect to the quadratic part and uniform with respect to the square-free part of the represented number.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 144, pp. 21–26, 1985.

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Golubeva, E.P. The application of the Shimura lifting to the representation of large numbers of ternary quadratic forms. J Math Sci 38, 2040–2044 (1987). https://doi.org/10.1007/BF01474436

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