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Quantum computation of zeta functions of curves

✍ Scribed by Kiran S. Kedlaya


Publisher
Springer
Year
2006
Tongue
English
Weight
214 KB
Volume
15
Category
Article
ISSN
1016-3328

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Local and Global Zeta-Functions of Singu
✍ Karl-Otto StΓΆhr πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 420 KB

Let X be a complete singular algebraic curve defined over a finite field of q elements. To each local ring O of X there is associated a zeta-function `O(s) that encodes the numbers of ideals of given norms. It splits into a finite sum of partial zeta-functions, which are rational functions in q &s .