2017
Том 69
№ 9

All Issues

Local deformations of positive-definite quadratic forms

Bondarenko V. M., Bondarenko V. V., Pereguda Yu. N.

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Abstract

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 Dynkin diagram.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 7, pp 1019-1035.

Citation Example: Bondarenko V. M., Bondarenko V. V., Pereguda Yu. N. Local deformations of positive-definite quadratic forms // Ukr. Mat. Zh. - 2012. - 64, № 7. - pp. 892-907.

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