Hang Liu

activity

20142026

most citedMahler measure of polynomials defining genus 2 and 3 curves

36 citations · 38 across the 8 of their papers we have counts for

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math.NT2026

Two Legendre-symbol determinants of Sun and Bernoulli numbers

Hang Liu

Let $p > 5$ be an odd prime, put $n = (p - 1) /2$ , and let $(\frac{\cdot}{p})$ be the Legendre symbol. Define $D_{p}^{\pm}$ to be the following determinants \[ \begin{aligned} D_…

math.NT2026

Paratrophic Determinants over $Z / N Z$ via Discrete Fourier Transform

Hang Liu

In this note, we investigate the paratrophic determinants attached to the multiplicative semigroup $Z / N Z$ . We show that, via discrete Fourier, cosine, and sine tr…

Two Legendre-symbol determinants of Sun and Bernoulli numbers

Paratrophic Determinants over Z/NZ via Discrete Fourier Transform

Paratrophic Determinants over $Z / N Z$ via Discrete Fourier Transform