Subong Lim

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math.NT2026

Vector-Valued Period Polynomials and Zeta Values of Quadratic Fields

Yeong-Wook Kwon, Subong Lim, Wissam Raji

Let $k \geq 2$ and $N \geq 1$ be integers. Let $D$ be a positive integer that is congruent to a square modulo $4 N$ , and fix $I ¨ $ with $I ¨ ^{2} \equiv D (mod 4 N)$ . In this paper, we conside…

math.NT2026

Rankin-Cohen Bracket for Vector-Valued Modular Forms

Youngmin Lee, Subong Lim, Wissam Raji

In this paper, we explore the relationship between Rankin-Cohen brackets for vector-valued modular forms and Petersson's inner products, deriving an explicit description of the adj…

math.NT2024

L-Series for Vector-Valued Weakly Holomorphic Modular Forms and Converse Theorems

Subong Lim, Wissam Raji

We introduce the $L$ -series of weakly holomorphic modular forms using Laplace transforms and give their functional equations. We then determine converse theorems for vector-valued…