China University of Mining and Technology

output

19952020

most citedNonlinear Schrödinger Equation: Generalized Darboux Transformation and Rogue Wave Solutions

982 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

Q. Liu14 · h 14
A. Xu13 · h 34
Yingjun Li12 · h 19
Guangcai Zhang11 · h 29
F. Feng8 · h 14
Yu Jia2 profiles7 · h 20
Wen-Long Sang5 · h 13
W. Zhai5 · h 15
Chuandong Lin4 · h 18
K. Tian4 · h 10
Ping Zhang2 profiles4 · h 9
B. Xie3 · h 20

collaborating institutions

Chinese Academy of SciencesCN17 papers
Institute of Applied Physics and Computational MathematicsCN16 papers
China University of Mining and TechnologyCN11 papers
Peking UniversityCN10 papers
State Key Laboratory for Geomechanics and Deep Underground EngineeringCN8 papers
Institute of High Energy PhysicsCN7 papers
University of Chinese Academy of SciencesCN7 papers
Southwest UniversityCN5 papers
Academy of Mathematics and Systems ScienceCN4 papers
Institute of Theoretical PhysicsCN4 papers
The Abdus Salam International Centre for Theoretical Physics (ICTP)IT4 papers
Beijing Institute of Petrochemical TechnologyCN3 papers

Showing 2020 · math.NTShow all

2 papers · 2 filters

math.NT2020

Average of Hardy's function at Gram points

Xiaodong Cao, Yoshio Tanigawa, Wenguang Zhai

Let $Z (t) = χ^{- 1/2} (1/2 + i t) ζ (1/2 + i t) = e^{i θ (t)} ζ (1/2 + i t)$ be Hardy's function and $g (n)$ be the $n$ -th Gram points defined by $θ (g (n)) = π n$ . Titchmarsh proved that $\sum_{n \leq N} Z(…

math.NT2020

Some mean value results related to Hardy's function

Xiaodong Cao, Yoshio Tanigawa, Wenguang Zhai

Let $ζ (s)$ and $Z (t)$ be the Riemann zeta function and Hardy's function respectively. We show asymptotic formulas for $\int_{0}^{T} Z (t) ζ (1/2 + i t) d t$ and $\int_{0}^{T} Z^{2} (t) ζ (1/2 + i t) d t$ .…