Hao Pan

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math.NT2025

On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields

Zhongda Li, Che Liu, Haoxiang Pan

Let $k$ be a $d$ -local field of characteristic 0, and let $K$ be the function field of a nice curve over $k$ . We give a defect to weak approximation for reductive groups over $K$ u…

math.NT2024

Vinogradov three prime theorem with Piatetski-Shapiro primes

Yu-Chen Sun, Shanshan Du, Hao Pan

We prove that, for any $c_{1}, c_{2}, c_{3} \in (1, 41/35)$ , every sufficiently large odd number $N$ can be represented as the sum of three primes $N = p_{1} + p_{2} + p_{3}$ such that $p_i = \lfloo…