10 citations · 42 across the 33 of their papers we have counts for
33 papers
Derived Zeta Functions for Curves over Finite Fields
Lin Weng
For each -tuple of positive integers, the -derived zeta function is defined for a…
Riemann Hypothesis for Non-Abelian Zeta Functions of Curves over Finite Fields
Lin Weng
In this paper, we develop some basic techniques towards the Riemann hypothesis for higher rank non-abelian zeta functions of an integral regular projective curve of genus over…
Local and Global Quantum Gates
Lin Weng
In this note, approaches towards local -adic and global adelic quantum gates are proposed.
Arithmetic Characteristic Curves
Lin Weng
For a split reductive group defined over a number field, we first introduce the notations of arithmetic torsors and arithmetic Higgs torsors. Then we construct arithmetic character…
Non-Abelian Zeta Function, Fokker-Planck Equation and Projectively Flat Connection
Lin Weng
Over the moduli space of rank semi-stable lattices is a universal family of tori. Along the fibers, there are natural differential operators and differential equations, particu…
Adelic Extension Classes, Atiyah Bundles and Non-Commutative Codes
Lin Weng
This paper consists of three components. In the first, we give an adelic interpretation of the classical extension class associated to extension of locally free sheaves on curves.…