6 papers
Large values of the Hurwitz zeta function with rational parameter
Qiyu Yang, Shengbo Zhao, Guang-Liang Zhou
In this paper, we establish lower bounds for large values of the Hurwitz zeta function with rational parameter when the real part . These results improve the earlier…
Extreme values of the real part of the Riemann zeta function
Qiyu Yang, Shengbo Zhao
In this paper, we establish lower bounds for extreme values of the real part of the Riemann zeta function on the critical line. This work relies on the resonance method of Bondaren…
Some Omega results for Dirichlet -functions
Qiyu Yang, Shengbo Zhao
Motivated by the first author's earlier work in 2024, we use the resonance method to establish some Omega results for Dirichlet -functions, extending the previous results.
Dimensional reduction for anyons in the average-field approximation
Qiyun Yang
We study abelian anyons at the mean-field/almost-bosonic level, whose dynamics are governed by the Chern-Simons-Schrödinger system. We consider the dimensional reduction of this 2D…
Dimensional reduction for a system of 2D anyons
Nicolas Rougerie, Qiyun Yang
Anyons with a statistical phase parameter are a kind of quasi-particles that, for topological reasons, only exist in a 1D or 2D world. We consider the dimensional reduc…
Anyons in a tight wave-guide and the Tonks-Girardeau gas
Nicolas Rougerie, Qiyun Yang
We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter α\in ]0,2[. In the magnetic gauge picture they are described as bosons attache…