7 papers
Mahler measure, motivic regulators and Dirichlet -values
Wei He, Jungwon Lee
Inspired by the work of Deninger, we present a formula that relates the Mahler measure of a two-variable variant of cyclotomic polynomial to regulator of class in motivic cohomolog…
The Density of Primes in the Eigensurface of
Liang Geng, Wei He, Rongwei Yang
The Prime Number Theorem asserts that the density of primes less than or equal to is asymptotically equal to . The density of prime triples in coprime triples in $\ma…
On the uniqueness of even Minkowski problem
Weiyong He, Junbang Liu
We prove that there is a unique , which can be characterized by the eigenvalue of Hilbert operator related to a convex body, that the even Minkowski problem has…
The Structure of Sequentially Complete Locally Minimal Groups
Dikran Dikranjan, Wei He, Dekui Peng
Generalizing results from \cite{DTk,DU} we study the fine structure of locally minimal (locally) precompact Abelian groups (these are the locally essential subgroups of LCA gro…
On the residual Monge-Ampère mass of plurisubharmonic functions, III: uniformly directional Lipschitz
Weiyong He, Long Li, Xiaowei Xu
The purpose of this article is to study the (residual) Monge-Ampère mass of a plurisubharmonic function with an isolated unbounded locus. A general decomposition formula is obtain…
A Note on a Recent Attempt to Prove the Irrationality of
Keyu Chen, Wei He, Yixin He +7
Recently Shekhar Suman [arXiv: 2407.07121v6 [math.GM] 3 Aug 2024] made an attempt to prove the irrationality of . But unfortunately the proof is not correct. In this note, w…