Chi Hoi Yip

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20242026

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math.NT2026

On the fractional parts of certain sequences of $I^¾ I^\pm^{n}$

Xiang Gao, Chi Hoi Yip

Assume that $I^\pm > 1$ is an algebraic number and $I^¾ \neq = 0$ is a real number. We are concerned with the distribution of the fractional parts of the sequence $(I^¾ I^\pm^{n})$ . Under various…

math.NT2025

Oscillation results for the summatory functions of fake mu's

Greg Martin, Chi Hoi Yip

Mossinghoff, Trudgian, and the first author~\cite{MMT23} recently introduced a family of arithmetic functions called ``fake $I^¼$ 's'', which are multiplicative functions for which t…

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…

On the fractional parts of certain sequences of I^¾I^±n

Oscillation results for the summatory functions of fake mu's

Upper Bounds on Polynomial Root Separation

On the fractional parts of certain sequences of $I^¾ I^\pm^{n}$