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A note on Diophantine inequalities in function fields

We will discuss how the Bentkus–Götze–Freeman variant of the Davenport–Heilbronn circle method can be used to study _q[t] solutions to inequalities of the form ord(λ₁p₁ᵏ+...+λₛpₛᵏ-γ)<τ, where constants λ₁,...,λₛ∈ _q((1/t)) satisfy certain conditions. This result is a generalization of the work do...

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Autore principale: Kathryn Wilson
Natura: Artigo
Lingua:Inglês
Pubblicazione: "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 2024-11-01
Serie:Notes on Number Theory and Discrete Mathematics
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Accesso online:https://nntdm.net/papers/nntdm-30/NNTDM-30-4-776-786.pdf
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