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math.AG2000
New Non-Abelian Zeta Functions for Curves over Finite Fields
Lin WENG
In this paper, we introduce and study two new types of non-abelian zeta functions for curves over finite fields, which are defined by using (moduli spaces of) semi-stable vector bu…
math.AG2000
Riemann-Roch, Stability and New Non-Abelian Zeta Functions for Number Fields
Lin WENG
In this paper, we introduce a geometrically stylized arithmetic cohomology for number fields. Based on such a cohomology, we define and study new yet genuine non-abelian zeta funct…