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arXiv · 0907.3723

On the Zeta Function of a Family of Quintics

Philippe Goutet
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Abstract

In this article, we give a proof of the link between the zeta function of two families of hypergeometric curves and the zeta function of a family of quintics that was observed numerically by Candelas, de la Ossa, and Rodriguez Villegas. The method we use is based on formulas of Koblitz and various Gauss sums identities; it does not give any geometric information on the link.

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Philippe Goutet. 2009-07-21. On the Zeta Function of a Family of Quintics. https://arxiv.org/abs/0907.3723

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