Seokho Jin

activity

20132026

most citedThe Riemann Hypothesis For Period Polynomials Of Modular Forms

32 citations · 32 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2026

The k-Rank Taylor Family: Canonical Harmonic Lifts, Principal Parts, and Rademacher Series

Seokho Jin, Sihun Jo

For fixed $k \geq 2$ , Garvan's modified $k$ -rank moments are encoded by odd elliptic Taylor coefficients of an odd-level Appell function. The completed coefficient of order $2 n + 1$ has…

math.NT2016★ 32 cited

The Riemann Hypothesis For Period Polynomials Of Modular Forms

Seokho Jin, Wenjun Ma, Ken Ono +1

The period polynomial $r_{f} (z)$ for an even weight $k \geq 4$ newform $f \in S_{k} (Γ_{0} (N))$ is the generating function for the critical values of $L (f, s)$ . It has a functional equation…

math.NT2015

A Note On Non-ordinary Primes

Seokho Jin, Wenjun Ma, Ken Ono

Suppose that $O_{L}$ is the ring of integers of a number field $L$ , and suppose that $f (z) = \sum_{n = 1}^{\infty} a_{f} (n) q^{n} \in S_{k} \cap O_{L} [[q]]$ (note: $q := e^{2 π i z}$ ) is a normalized He…

math.NT2013

Periods of Jacobi forms and Hecke operator

Youngju Choie, Seokho Jin

A Hecke action on the space of periods of cusp forms, which is compatible with that on the space of cusp forms, was first computed using continued fraction and an explicit algebrai…