Maurizio Monge – Publication List
نویسنده
چکیده
• M. Monge, Generation of the symmetric field by Newton polynomials in prime characteristic, published in Rocky Mountains Journal (2012). It was proved by Dvornicich-Zannier that the polynomials xa + ya, xb + yb, xc+yc generate the field of symmetric function in x, y over Q, when a,b,c have no common factor. We extend the result in prime characteristic p, under the additional hypothesis that a, b, c, and their pairwise differences, are all prime with p. The additional hypotheses are proved to be necessary with a family of counterexamples.
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