Renjin Jiang

collaborators

2 papers

math.SP2026

PÃ³lya's conjecture up to $I^µ$ -loss and quantitative estimates for the remainder of Weyl's law

Renjin Jiang, Fanghua Lin

Let $I^c ◯ \subset R^{n}$ be a bounded Lipschitz domain. For any $I^µ \in (0, 1)$ we show that for any Dirichlet eigenvalue $I^»_{k} (I^c ◯) > I^ (I^µ, I^c ◯)$ , it holds \begin{align*} k&\le (1+Îµ…

math.SP2025

Improved Berezin-Li-Yau inequality and KrÃ¶ger inequality and consequences

Zaihui Gan, Renjin Jiang, Fanghua Lin

We provide quantitative improvements to the Berezin-Li-Yau inequality and the KrÃ¶ger inequality, in $R^{n}$ , $n \geq 2$ . The improvement on KrÃ¶ger's inequality resolves an o…

PÃ³lya's conjecture up to I^µ-loss and quantitative estimates for the remainder of Weyl's law

Improved Berezin-Li-Yau inequality and KrÃ¶ger inequality and consequences

PÃ³lya's conjecture up to $I^µ$ -loss and quantitative estimates for the remainder of Weyl's law