Xinhua Qin

collaborators

2 papers

math.NT2025

Bilinear forms with Kloosterman sums and moments of twisted L-functions

Djordje MiliÄeviÄ, Xinhua Qin, Xiaosheng Wu

We establish power-saving estimates for general bilinear forms with Kloosterman sums modulo arbitrary q, including when both variables are shorter than the Polya-Vinogradov range.…

math.NT2025

Non-vanishing of Dirichlet $L$ -functions at the Central Point

Xinhua Qin, Xiaosheng Wu

We prove that for at least $\frac{7}{19}$ of the primitive Dirichlet characters $I ¨ $ with large general modulus, the central value $L (\frac{1}{2}, I ¨ )$ is non-vanishing.

Bilinear forms with Kloosterman sums and moments of twisted L-functions

Non-vanishing of Dirichlet L-functions at the Central Point

Non-vanishing of Dirichlet $L$ -functions at the Central Point