8 citations · 17 across the 8 of their papers we have counts for
8 papers
Special values of spectral zeta functions and combinatorics: Sturm-Liouville problems
Bing Xie, Yigeng Zhao, Yongqiang Zhao
In this paper, we apply the combinatorial results on counting permutations with fixed pinnacle and vale sets to evaluate the special values of the spectral zeta functions of Sturm-…
Special values of spectral zeta functions of graphs and Dirichlet L-functions
Bing Xie, Yigeng Zhao, Yongqiang Zhao
In this paper, we establish relations between special values of Dirichlet -functions and that of spectral zeta functions or -functions of cycle graphs. In fact, they determin…
Cohomological Milnor formula and Saito's conjecture on characteristic classes
Enlin Yang, Yigeng Zhao
We confirm the quasi-projective case of Saito's conjecture, namely that the cohomological characteristic classes defined by Abbes and Saito can be computed in terms of the characte…
On the relative twist formula of -adic sheaves
Enlin Yang, Yigeng Zhao
We propose a conjecture on the relative twist formula of -adic sheaves, which can be viewed as a generalization of Kato-Saito's conjecture. We verify this conjecture under so…
Higher ideles and class field theory
Moritz Kerz, Yigeng Zhao
We use higher ideles and duality theorems to develop a universal approach to higher dimensional class field theory.
Characteristic class and the epsilon factor of an étale sheaf
Naoya Umezaki, Enlin Yang, Yigeng Zhao
We prove a twist formula for the epsilon factor of a constructible sheaf on a projective smooth variety over a finite field in terms of characteristic class of the sheaf. This form…
Duality for relative logarithmic de Rham-Witt sheaves on semistable schemes over
Yigeng Zhao
We study duality theorems for the relative logarithmic de Rham-Witt sheaves on semi-stable schemes over a local ring , where is a finite field…
Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields
Uwe Jannsen, Shuji Saito, Yigeng Zhao
In order to study -adic étale cohomology of an open subvariety of a smooth proper variety over a perfect field of characteristic , we introduce new -primary tors…