From the 1 of 4 linked papers with an AI index.
4 papers
math.CV2026
Jacobi Endpoint Pencils and Sharp Interlacing for Centered Binomial Samples
Seokho Jin
For an even or odd real entire function of order at most one, let denote its centered binomial sample of odd degree. After removing the zero at forced by…
math.NT2026
Odd Parts of Derivative Period Polynomials: Zero Geometry and a Logarithmic Transition
Seokho Jin
The paper investigates the zeros of the odd part of derivative period polynomials attached to normalized level‑one Hecke eigenforms, showing that any off‑unit‑circle zeros must for…
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 , 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 . A central difficulty in this a…