Define the Zeta Function of a Variety over a Number Field by taking the product over all Prime Ideals of the Zeta Functions of this Variety reduced modulo the Primes. Hasse conjectured that this product has a Meromorphic continuation over the whole plane and a functional equation.

**References**

Lang, S. ``Some History of the Shimura-Taniyama Conjecture.'' *Not. Amer. Math. Soc.* **42**, 1301-1307, 1995.

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1999-05-25