Local deformations of positive-definite quadratic forms

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.

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Bibliographic Details
Date:2012
Main Authors: Bondarenko, V. V., Bondarenko, V. M., Pereguda, Yu. N., Бондаренко, В. В., Бондаренко, В. М., Перегуда, Ю. Н.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2012
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2626
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal