TOPICS
Search

Hasse's Conjecture


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.


See also

Meromorphic Function, Prime Ideal

Explore with Wolfram|Alpha

References

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

Referenced on Wolfram|Alpha

Hasse's Conjecture

Cite this as:

Weisstein, Eric W. "Hasse's Conjecture." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HassesConjecture.html

Subject classifications