论文标题
某些Artin-Schreier曲线的点数
Number of points of certain Artin-Schreier curves
论文作者
论文摘要
我们证明了约翰森，海尔勒斯和霍洛沙的猜想，这些猜想是关于与$ m $序列的互相关相关的指数级均等。在证明中，我们表明某些Artin-Schreier曲线在有限字段上具有相同数量的点。这对这些曲线的L-多项式具有后果。
We prove a conjecture of Johansen, Helleseth and Kholosha concerning equality of exponential sums related to the cross-correlation of $m$-sequences. In the proof we show that certain Artin-Schreier curves have the same number of points over finite fields. This has a consequence regarding the L-polynomials of these curves.
