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Труды Института математики, 2014, том 22, номер 2, страницы 96–108
(Mi timb224)
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On the size of $p$-adic cylinder for which the regular system of algebraic numbers can be constructed
N. V. Budarinaab, M. V. Lamchanovskayaab a Khabarovsk Division of Institute for Applied Mathematics,
Far Eastern Branch of the Russian Academy of Sciences
b Institute of Mathematics, The National Belarus Academy of Sciences
Аннотация:
On the relation between a factorization of a polynomial resultant and the frequency of its occurrence. A lower bound is obtained for the number of polynomial pairs of a given degree and bounded heights such that their resultants are divisible by a fixed prime number.
Поступила в редакцию: 01.12.2014
Образец цитирования:
N. V. Budarina, M. V. Lamchanovskaya, “On the size of $p$-adic cylinder for which the regular system of algebraic numbers can be constructed”, Тр. Ин-та матем., 22:2 (2014), 96–108
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/timb224 https://www.mathnet.ru/rus/timb/v22/i2/p96
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Страница аннотации: | 158 | PDF полного текста: | 75 | Список литературы: | 36 |
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