Jakub Dobrowolski

activity

20222026

collaborators

3 papers

math.NT2026

Regularized spectral expansion of a Rankin--Selberg period and moments

Jakub Dobrowolski, Subhajit Jana, Ramon Nunes

We establish a regularized spectral decomposition of the squared magnitude of a maximal degenerate Eisenstein series as a Schwartz distribution on $GL_{n}$ . Although the ori…

math.NT2025

The second moment of $GL (2) \times GL (2)$ Rankin-Selberg $L$ -functions in the level aspect

Jakub Dobrowolski

We prove an asymptotic formula with a power-saving error term for a specific weighted second moment of $GL (2) \times GL (2)$ Rankin-Selberg $L$ -function, $L(1/2,π\o…

math.NT2022

Quadratic Forms in Prime Variables with small off-diagonal ranks

Jakub Dobrowolski

The main goal of this note is to establish the limits of L. Zhao's techniques for counting solutions to quadratic forms in prime variables. Zhao considered forms with rank at least…

Regularized spectral expansion of a Rankin--Selberg period and moments

The second moment of GL(2)×GL(2) Rankin-Selberg L-functions in the level aspect

Quadratic Forms in Prime Variables with small off-diagonal ranks

The second moment of $GL (2) \times GL (2)$ Rankin-Selberg $L$ -functions in the level aspect