On towers of function fields of Artin-Schreier type
In this article we derive strong conditions on the defining equations of asymptotically good Artin-Schreier towers. We will show that at most three kinds of defining equations can give rise to a recursively defined good tower, if we restrict ourselves to prime degrees.
Keywords:function fields finite fields towers of function fields rational places genus limits of towers Artin-Schreier extensions
Mathematical subject classification:11R58 14H05 11D59 14G15
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