34 citations · 43 across the 6 of their papers we have counts for
10 papers · 1 filter
Combinatorial Congruences and -Operators
Daqing Wan
The -operator for -modules plays an important role in the study of Iwasawa theory via Fontaine's big rings. In this note, we prove several sharp estimates for the -op…
L-Functions for Symmetric Products of Kloosterman Sums
Lei Fu, Daqing Wan
The classical Kloosterman sums give rise to a Galois representation of the function field unramfied outside 0 and . We study the local monodromy of this representation at $…
Rationality of partial zeta functions
Daqing Wan
We prove that the partial zeta function introduced in [9] is a rational function, generalizing Dwork's rationality theorem.
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…