On the Zeta Function of a Family of Quintics

Details On the Zeta Function of a Family of Quintics On the Zeta Function of a Family of Quintics

2009-07-21

arxiv.org/abs/0907.3723v1

Mathematics

Number Theory

16 pages

Scientific paper

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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