Kiseok Yeon

activity

20192026

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math.NT2022

Small fractional parts of polynomials and mean values of exponential sums

Kiseok Yeon

Let $k_{i} (i = 1, 2, \dots, t)$ be natural numbers with $k_{1} > k_{2} > \dots > k_{t} > 0$ , $k_{1} \geq 2$ and $t < k_{1} .$ Given real numbers $α_{j i} (1 \leq j \leq t, 1 \leq i \leq s)$ , we consider polyn…

math.NT2022

Small fractional parts of binary forms

Kiseok Yeon

We obtain bounds on fractional parts of binary forms of the shape $Ψ (x, y) = α_{k} x^{k} + α_{l} x^{l} y^{k - l} + α_{l - 1} x^{l - 1} y^{k - l + 1} + \dots + α_{0} y^{k}$ with $α_{k}, α_{l}, \dots, α_{0} \in R$ an…