We give a complete description of real numbers that are P-limit numbers for integer-valued positive-definite quadratic forms with unit coefficients of the squares. It is shown that each of these P-limit numbers is realized in the Tits quadratic form of a certain Dynkin diagram.
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V. M. Bondarenko and Yu. M. Pereguda, “On P-numbers of quadratic forms,” in: Geometry, Topology, and Their Applications, Proc. of the Institute of Mathematics, Ukrainian National Academy of Sciences, 6, No. 2 (2009), pp. 474–477.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 7, pp. 892–907, July, 2012.
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Bondarenko, V.M., Bondarenko, V.V. & Pereguda, Y.N. Local deformations of positive-definite quadratic forms. Ukr Math J 64, 1019–1035 (2012). https://doi.org/10.1007/s11253-012-0696-z
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DOI: https://doi.org/10.1007/s11253-012-0696-z