34 citations · 43 across the 6 of their papers we have counts for
13 papers
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…
Mirror Congruence for Rational Points on Calabi-Yau Varieties
Lei Fu, Daqing Wan
Wan conjectures that if and form a strong mirror pair of Calabi-Yau varieties over a finite field with elements, then X and Y have the same number of -ra…
Mirror Symmetry For Zeta Functions
Daqing Wan
In this paper, we study the relation between the zeta function of a Calabi-Yau hypersurface and the zeta function of its mirror. Two types of arithmetic relations are discovered. T…
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.
Hodge type of the exotic cohomology of complete intersections
Hélène Esnault, Daqing Wan
We improve the known Hodge type bound for the exotic cohomology of complete intersections. In the revised version, we included a simplification of our original argument due to Pier…