D. Choi

activity

20072024

most citedThe Eichler cohomology theorem for Jacobi forms

5 citations · 6 across the 11 of their papers we have counts for

collaborators

16 papers

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.NT2022

Newman's conjecture for the partition function modulo integers with at least two distinct prime divisors

Dohoon Choi, Youngmin Lee

Let $M$ be a positive integer and $p (n)$ be the number of partitions of a positive integer $n$ . Newman's Conjecture asserts that for each integer $r$ , there are infinitely many pos…

math.NT2021

Multiplicity one bound for cohomological automorphic representations with a fixed level

Dohoon Choi

Let $F$ be a totally real field, and $A_{F}$ be the adele ring of $F$ . Let us fix $N$ to be a positive integer. Let $π_{1} = \otimes π_{1, v}$ and $π_{2} = \otimes π_{2, v}$ be distinct…

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