Wonwoong Lee

collaborators

4 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.NT2026

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.NT2025

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.NT2025

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 $L (s, f \otimes I ¨ _{8 d}) L (s, g \otimes I ¨ _{8 d})$ over quadrati…