Local deformations of positive-definite quadratic forms

• Datum: 2012
• Hauptverfasser: Bondarenko, V. V., Bondarenko, V. M., Pereguda, Yu. N., Бондаренко, В. В., Бондаренко, В. М., Перегуда, Ю. Н.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2012
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2626
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.