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A Comparision of the Number of Rational Places of Certain Function Fields to the Hasse-Weil Bounds

✍ Scribed by Marko J. Moisio; Keijo O. Väänänen

Publisher
Springer
Year
2004
Tongue
English
Weight
179 KB
Volume
14
Category
Article
ISSN
0938-1279

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✍ Harald Niederreiter; Chaoping Xing 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 709 KB

We construct infinite class field towers of global function fields with asymptotically many rational places. In this way, we improve on asymptotic bounds of SERRE, PERRET, SCHOOF, and XING. The results can be interpreted equivalently as asymptotic bounds on the number of rational points of smooth al