关于Ihara常数A（2）和A（3）的下界
On lower bounds for the Ihara constants A(2) and A(3)
摘要：
设X是q元有限域上的曲线，N（X），g（X）分别是它的有理点数和亏格数. Ihara常数A（q）由N（X）/g（X）的上限定义，因为X的亏格趋于无穷大。本文利用Serre类域塔方法的一个变形，得到了A（2）和A（3）上最著名的下界的一个改进.
英文摘要：
Let X be a curve over the finite field of q elements and let N(X), g(X) be its number of rational points and genus respectively. The Ihara constant A(q) is defined by the limit superior of N(X)/g(X) as the genus of X goes to infinity. In this paper, we employ a variant of Serre's class field tower method to obtain an improvement of the best known lower bounds on A(2) and A(3).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
