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Some diophantine systems

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Abstract

Using known results concerning the representation of binary forms as sums of three or four squares of linear forms we derive an asymptotic formula connected with the representation of integers in an imaginary quadratic number field R as sums of three or four squares of integers from R.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 116, pp. 155–160, 1982.

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Fomenko, O.M. Some diophantine systems. J Math Sci 26, 1930–1934 (1984). https://doi.org/10.1007/BF01670581

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