C. Yip

activity

20232026

most citedImproved upper bounds on Diophantine tuples with the property

D (n)

2 citations · 6 across the 11 of their papers we have counts for

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4 papers · 1 filter

math.NT2024

Upper Bounds on Polynomial Root Separation

Greg Knapp, Chi Hoi Yip

In this paper, we consider the relationship between the Mahler measure of a polynomial and its separation. In 1964, Mahler proved that if $f (x) \in Z [x]$ is separable of d…

math.NT2024

On the fractional parts of certain sequences of $ξ α^{n}$

Xiang Gao, Chi Hoi Yip

Assume that $α > 1$ is an algebraic number and $ξ \neq = 0$ is a real number. We are concerned with the distribution of the fractional parts of the sequence $(ξ α^{n})$ . Under various Dio…

math.NT2024★ 1 cited

A strengthening of McConnel's theorem on permutations over finite fields

Chi Hoi Yip

Let $p$ be a prime, $q = p^{n}$ , and $D \subset F_{q}^{*}$ . A celebrated result of McConnel states that if $D$ is a proper subgroup of $F_{q}^{*}$ , and $f:\mathbb{F}_q \to \m…

math.NT2024★ 2 cited

Improved upper bounds on Diophantine tuples with the property $D (n)$

Chi Hoi Yip

Let $n$ be a non-zero integer. A set $S$ of positive integers is a Diophantine tuple with the property $D (n)$ if $ab + n$ is a perfect square for each $a, b \in S$ with $a \neq = b$ . It…

Upper Bounds on Polynomial Root Separation

On the fractional parts of certain sequences of ξαn

A strengthening of McConnel's theorem on permutations over finite fields

Improved upper bounds on Diophantine tuples with the property D(n)

On the fractional parts of certain sequences of $ξ α^{n}$

Improved upper bounds on Diophantine tuples with the property $D (n)$