Subong Lim

activity

20102024

most citedEichler integrals and harmonic weak Maass forms

8 citations · 16 across the 12 of their papers we have counts for

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15 papers · 1 filter

math.NT2024

The number of automorphic representations of $GL_{2}$ with exceptional eigenvalues

Dohoon Choi, Min Lee, Youngmin Lee +1

We obtain an upper bound for the dimension of the cuspidal automorphic forms for $GL_{2}$ over a number field, whose archimedean local representations are not tempered. More…

math.NT2023

Results on the Non-Vanishing of Derivatives of L-Functions of Vector-Valued Modular Forms

Subong Lim, Wissam Raji

We show a non-vanishing result for the averages of the derivatives of $L$ -functions associated with the orthogonal basis of the space of vector-valued cusp forms of weight $k\in \f…

math.NT2023

Non-Vanishing of L-Functions of Vector-Valued Modular Forms

Subong Lim, Wissam Raji

We show a non-vanishing result for the averages of L-functions associated with the orthogonal basis of the space of cusp forms of vector-valued modular forms on the full group. We…

math.NT2019

Congruences involving the $U_{ℓ}$ operator for weakly holomorphic modular forms

Dohoon Choi, Subong Lim

Let $λ$ be an integer, and $f (z) = \sum_{n ≫ - \infty} a (n) q^{n}$ be a weakly holomorphic modular form of weight $λ + \frac{1}{2}$ on $Γ_{0} (4)$ with integral coefficients. Let $ℓ \geq 5$ be…

math.NT2018

Schneider-Siegel theorem for a family of values of a harmonic weak Maass form at Hecke orbits

Dohoon Choi, Subong Lim

Let $j (z)$ be the modular $j$ -invariant function. Let $τ$ be an algebraic number in the complex upper half plane $H$ . It was proved by Schneider and Siegel that if $τ$ is…

math.NT2018

Values of Harmonic Weak Maass forms on Hecke orbits

Dohoon Choi, Min Lee, Subong Lim

Let $q := e^{2 π i z}$ , where $z \in H$ . For an even integer $k$ , let $f (z) := q^{h} \prod_{m = 1}^{\infty} (1 - q^{m})^{c (m)}$ be a meromorphic modular form of weight $k$ on $Γ_{0} (N)$ . Fo…

The number of automorphic representations of GL2​ with exceptional eigenvalues