3 papers
math.OC2025
Extending Linear Convergence of the Proximal Point Algorithm: The Quasar-Convex Case
José de Brito, Felipe Lara, Di Liu
This work investigates the properties of the proximity operator for quasar-convex functions and establishes the convergence of the proximal point algorithm to a global minimizer wi…
math.NT2024
On the Pair Correlation of Zeros of -Functions for Non-CM Newforms in Shifted Ranges
Di Liu, Clayton Williams, Alexandru Zaharescu
We study the pair correlation between zeros of a shifted auxiliary -function attached to a non-CM newform, the scale of which is a fixed constant. We prove an unconditional as…
math.NT2024
Euler Product Sieve
Di Liu, Yuri Matiyasevich, Joseph Oesterlé +1
We study a class of approximations to the Riemann zeta function introduced earlier by the second author on the basis of Euler product. This allows us to justify Euler Product Sieve…