Seokho Jin

activity

20242026

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math.CV2026

Jacobi Endpoint Pencils and Sharp Interlacing for Centered Binomial Samples

Seokho Jin

We study interlacing between real polynomial quotients obtained from centered binomial samples of a fixed even or odd real entire function at consecutive odd degrees. For sources o…

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…