Seokho Jin

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20242026

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math.NT2026

Odd Parts of Derivative Period Polynomials: Zero Geometry and a Logarithmic Transition

Seokho Jin

Let $f$ be a normalized level-one Hecke eigenform of even weight $k$ , and let $Q_{f, m}$ be the derivative period polynomial formed from the critical values of the $m$ -th derivative…

math.NT2026

Sharp Circular Sampling and Derivative Period Polynomials

Seokho Jin

We determine the exact maximal reflected zero region that forces centered binomial samples of a balanced entire function to have all zeros on the unit circle. In degree $d \geq 2$ , th…

math.NT2025

A truncated inner product formula in the geometry of numbers

Seokho Jin, Seungki Kim

We study the statistical distribution of primitive sublattices in the space of lattices $SL (n, Z) \ SL (n, R)$ . A central difficulty in this a…

math.NT2024

Certain infinite products in terms of MacMahon type series

Seokho Jin, Badri Vishal Pandey, Ajit Singh

Recently, Ono and the third author discovered that the reciprocals of the theta series $(q; q)_{\infty}^{3}$ and $(q^{2}; q^{2})_{\infty} (q; q^{2})_{\infty}^{2}$ have infinitely many closed formulas…