Wonwoong Lee

activity

20222026

collaborators

6 papers

math.NT2026

Divisor moments of polynomials in Fourier coefficients of modular forms

Wonwoong Lee

We study higher moments of the divisor function evaluated at polynomial expressions in the Fourier coefficients of a non-CM newform. The logarithmic exponent appearing in our estim…

math.NT2024

Divisor problems for restricted Fourier coefficients of modular forms

Yuk-Kam Lau, Wonwoong Lee

Let $d (n)$ be the number of divisors of $n$ . We investigate the average value of $d (a_{f} (p))^{r}$ for $r$ a positive integer and $a_{f} (p)$ the $p$ -th Fourier coefficient of a cuspidal…

math.NT2024

Moment of derivatives of L-functions for two distinct newforms

Seokhyun Choi, Beomho Kim, Hansol Kim +2

We establish an unconditional result concerning the asymptotic formula for the moment of derivatives of $L$ -functions $L (s, f \otimes χ_{8 d}) L (s, g \otimes χ_{8 d})$ over quadratic…

math.NT2024

On the real zeros of depth 1 quasimodular forms

Bo-Hae Im, Wonwoong Lee

We discuss the critical points of modular forms, or more generally the zeros of quasimodular forms of depth $1$ for $PSL_{2} (Z)$ . In particular, we consider the deri…

math.NT2022

Non-holomorphic Eisenstein series for certain Fuchsian groups and class numbers

Bo-Hae Im, Wonwoong Lee

We study certain types of Fuchsian groups of the first kind denoted by $R (N)$ , which coincide with the Fricke groups or the arithmetic Hecke triangle groups of low levels. We find…

math.NT2022

On the common zeros of quasi-modular forms for $Γ_{0}^{+} (N)$ of level $N = 1, 2, 3$

Bo-Hae Im, Hojin Kim, Wonwoong Lee

In this paper, we study common zeros of the iterated derivatives of the Eisenstein series for $Γ_{0}^{+} (N)$ of level $N = 1, 2$ and $3$ , which are quasi-modular forms. More precisely, we…

Divisor moments of polynomials in Fourier coefficients of modular forms

Divisor problems for restricted Fourier coefficients of modular forms

Moment of derivatives of L-functions for two distinct newforms

On the real zeros of depth 1 quasimodular forms

Non-holomorphic Eisenstein series for certain Fuchsian groups and class numbers

On the common zeros of quasi-modular forms for Γ0+​(N) of level N=1,2,3

On the common zeros of quasi-modular forms for $Γ_{0}^{+} (N)$ of level $N = 1, 2, 3$