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Some properties of the squares of positive integers

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Abstract

We establish formulas for complete sums of products of squares of positive integers in the form of linear combinations of incomplete products of squares of these same positive integers, wherein the coefficients do not depend on the number of factors in the indicated products.

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Literature cited

  1. L. D. Kudryavtsev, “On the space of functions whose limiting values are trigonometric polynomials,” Dokl. Akad. Nauk SSSR,216, No. 3, 27–30 (1974).

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Authors and Affiliations

  1. V. A. Steklov Mathematics Institute, Academy of Science of the USSR, USSR

    L. D. Kudryavtsev

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  1. L. D. Kudryavtsev
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Translated from Matematicheskie Zametki, Vol. 16, No. 1, pp. 33–39, July, 1974.

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Kudryavtsev, L.D. Some properties of the squares of positive integers. Mathematical Notes of the Academy of Sciences of the USSR 16, 604–607 (1974). https://doi.org/10.1007/BF01098811

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  • DOI: https://doi.org/10.1007/BF01098811

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