Daqing Wan

most citedMirror Symmetry For Zeta Functions

34 citations · 43 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2005

Combinatorial Congruences and $ψ$ -Operators

Daqing Wan

The $ψ$ -operator for $(ϕ, Γ)$ -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 $ψ$ -op…

math.AG2005

Mirror Congruence for Rational Points on Calabi-Yau Varieties

Lei Fu, Daqing Wan

Wan conjectures that if $X$ and $Y$ form a strong mirror pair of Calabi-Yau varieties over a finite field $F_{q}$ with $q$ elements, then X and Y have the same number of $F_{q^{k}}$ -ra…

math.AG2004★ 34 cited

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…

math.NT2004★ 9 cited

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 $\infty$ . We study the local monodromy of this representation at $…

Combinatorial Congruences and ψ-Operators

Mirror Congruence for Rational Points on Calabi-Yau Varieties

Mirror Symmetry For Zeta Functions

L-Functions for Symmetric Products of Kloosterman Sums

Combinatorial Congruences and $ψ$ -Operators