For any square-free polynomial D over a finite field of characteristic at least 5, we present an algorithm for generating all cubic function fields of discriminant D. We also provide a count of …
V Karemaker, S Marques, J Sijsling - International Journal of …, 2021 - World Scientific
This paper describes cubic function fields L/K with prescribed ramification, where K is a rational function field. We give general equations for such extensions, an explicit procedure …
P Rozenhart, R Scheidler - Mathematics of Computation, 2012 - ams.org
We present a method for tabulating all cubic function fields over $\mathbb {F} _q (t) $ whose discriminant $ D $ has either odd degree or even degree and the leading coefficient of $-3D …
We give a general method for tabulating all cubic function fields over Fq (t) whose discriminant D has odd degree, or even degree such that the leading coefficient of− 3D is a …
S Marques, K Ward - European Journal of Mathematics, 2019 - Springer
We determine an explicit triangular integral basis for any separable cubic extension of a rational function field over a finite field in any characteristic. We obtain a formula for the …
S Marques, J Ward - Research in Number Theory, 2019 - Springer
We explicitly describe the ramified places in any separable cubic extension of a cubic global function field in terms of a unique given parameter. This is all done using the uniqueness of …
When jumping from the number fields theory to the function fields theory, one cannot miss the deep analogy between rank 1 Drinfeld modules and the group of root of unity and the …
The question we propose to answer throughout this paper is the following: Given an isogeny class of Drinfeld modules over a finite field, what are the orders of the corresponding …
S Nkotto Nkung Assong - 2020 - kobra.uni-kassel.de
When jumping from the number fields theory to the function fields theory, one cannot miss the deep analogy between rank 1 Drinfeld modules and the group of root of unity and the …