Measure estimate for 𝑝-adic Diophantine approximation
https://doi.org/10.22405/2226-8383-2022-23-3-19-36
Abstract
A quantitative estimate for the measure of the set of 𝑝-adic numbers for which the inequality |𝑃(𝑥)|𝑝 < 𝑄−𝑤 for 𝑤 > 3𝑛/2 + 2 has a solution in integral polynomials P of degree n and of height 𝐻(𝑃) at most 𝑄 ∈ N, is established.
About the Author
Natalia Viktorovna Budarina
Dundalk Institute of Technology
Ireland
Ireland
doctor of physical and mathematical sciences
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Review
For citations:
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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