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Оценка меры для 𝑝-адических диофантовых приближений

https://doi.org/10.22405/2226-8383-2022-23-3-19-36

Аннотация

В статье получена количественная оценка меры множества 𝑝-адических чисел, для которых неравенство |𝑃(𝑥)|𝑝 < 𝑄−𝑤 при 𝑤 > 3𝑛/2 + 2 имеет решение в целочисленных полиномах 𝑃 степени 𝑛 и высоты 𝐻(𝑃), не превышающей 𝑄 ∈ N.

Об авторе

Наталья Викторовна Бударина
Дандолкский технологический институт
Ирландия

доктор физико-математических наук



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Рецензия

Для цитирования:


Бударина Н.В. Оценка меры для 𝑝-адических диофантовых приближений. Чебышевский сборник. 2022;23(3):19-36. https://doi.org/10.22405/2226-8383-2022-23-3-19-36

For citation:


Budarina N.V. Measure estimate for 𝑝-adic Diophantine approximation. Chebyshevskii Sbornik. 2022;23(3):19-36. (In Russ.) https://doi.org/10.22405/2226-8383-2022-23-3-19-36

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