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Mirror Symmetry For Zeta Functions

Daqing Wan
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Abstract

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. This motivates us to formulate two general arithmetic mirror conjectures for the zeta functions of a mirror pair of Calabi-Yau manifolds.

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Daqing Wan. 2004-11-22. Mirror Symmetry For Zeta Functions. https://arxiv.org/abs/math/0411464

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