15 citations · 15 across the 9 of their papers we have counts for
5 papers · 1 filter
Yau's number-theoretic conjecture and sharp spectral bounds for quantum harmonic oscillators
Zhiwen Liu, Stephen S. -T. Yau, Hao Zuo
We prove Yau's number-theoretic conjecture on positive integral points in real right simplices in every dimension , and apply the resulting sharp polynomial bound to quantum…
Pellarin's Identity, Carlitz Period, and Anderson Generating Functions over Arbitrary Curves
Chuangqiang Hu, Stephen S. -T. Yau, Lishan Yu
Let \(A\) be the coefficient ring of a smooth projective curve over \(\mathbb{F}_q\) with a closed point at infinity of arbitrary degree \(\mathrm{N}=°(\infty)\ge 1\), and let \(φ\…
Derivations of Generalized Moduli Algebras of Isolated Hypersurface Singularities
Zhiwen Liu, Stephen S. -T. Yau
Let be an isolated complex hypersurface singularity defined by . Let be the moduli(Tjurina) algebra, let be the generalize…
Anderson generating function of rank-one Drinfeld Module over rational function fields
Chuangqiang Hu, Xiao-Min Huang, Stephen S. -T. Yau
We establish a fundamental breakthrough in rank-one Drinfeld module arithmetic by deriving explicit formulas over the integral domain $\A = H^{0}(\mathbb{P}^1-P_ρ, \mathcal{O}_{\ma…
Nakai conjectures for isolated weighted homogeneous hypersurface singularities
Stephen S. -T. Yau, Qiwei Zhu, Huaiqing Zuo
The long-standing Nakai Conjecture asks whether differential operators detect singularities on algebraic varieties. On a smooth variety over a field of characteristic zero, the rin…