34 citations · 43 across the 6 of their papers we have counts for
4 papers · 1 filter
Partial zeta functions of algebraic varieties over finite fields
Daqing Wan
By restricting the variables running over various (possibly different) subfields, we introduce the notion of a partial zeta function. We prove that the partial zeta function is rat…
Pure L-functions from algebraic geometry over finite fields
Daqing Wan
This is an expository paper which gives a simple arithmetic introduction to the conjectures of Weil and Dwork concerning zeta functions of algebraic varieties over finite fields. A…
Higher rank case of Dwork's conjecture
Daqing Wan
This is the final version of ANT-0142 ("An embedding approach to Dwork's conjecture"). It reduces the higher rank case of the conjecture over a general base variety to the rank one…
Rank one case of Dwork's conjecture
Daqing Wan
This paper proves the general rank one case of Dwork's conjecture over the affine space. It generalizes and improves the method of ANT-0141 "Dwork's conjecture on unit root zeta fu…