3 citations · 6 across the 4 of their papers we have counts for
13 papers
Arthur's Periods, Regularized Integrals and Refined Structures of Non-Abelian L-Functions
Lin Weng
We first study geometrically oriented truncation associated with stability along the line of Arthur's analytic truncation. Then, we give a detailed discussion on the so-called Abel…
Rank Two Non-Abelian Zeta and Its Zeros
Lin Weng
In this paper, we first reveal an intrinsic relation between non-abelian zeta functions and Epstein zeta functions for algebraic number fields. Then, we expose a fundamental relati…
Non-Abelian L Function for Number Fields
Lin Weng
This is an integrated part of our Geo-Arithmetic Program. In this paper we introduce and hence study non-abelian zeta functions and more generally non-abelian -functions for num…
Non-Abelian L Functions for Function Fields
Lin Weng
This is an integrated part of our Geo-Arithmetic Program. In this paper we initiate a geometrically oriented construction of non-abelian zeta functions for curves defined over fini…
A Note on Arithmetic Cohomologies for Number Fields
Lin Weng
As a part of our program for Geometric Arithmetic, we develop an arithmetic cohomology theory for number fields using theory of locally compact groups.
A Program For Geometric Arithmetic
Lin Weng
Proposed is a program for what we call Geometric Arithmetic, based on our works on non-abelian zeta functions and non-abelian class field theory. Key words are stability and adelic…