Wonwoong Lee

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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…