WebABC-theorem, i.e., Mason-Stothers theorem (see [11, pp. 194-195]), is a nice result about polynomials (see Lemma 2.4 below for details) that essentially says that if one has two coprime polynomials in one variable over a eld K, besides the case where both these polynomials are p-th powers, where pis the characteristic of the Web1 de jun. de 2024 · A Stothers–Mason theorem with a difference radical Authors: Katsuya Ishizaki The Open University of Japan Risto Juhana Korhonen University of Eastern …
A Stothers–Mason theorem with a difference radical - Semantic …
WebDespite his unassuming nature, Wilson Stothers leaves an enduring if unexpected mathematical legacy. Around 1977/1978 he resumed research on discrete groups and distilled, through the medium of complex function theory, a … The Mason–Stothers theorem, or simply Mason's theorem, is a mathematical theorem about polynomials, analogous to the abc conjecture for integers. It is named after Walter Wilson Stothers, who published it in 1981, and R. C. Mason, who rediscovered it shortly thereafter. The theorem states: Let … Ver más • Over fields of characteristic 0 the condition that a, b, and c do not all have vanishing derivative is equivalent to the condition that they are not all constant. Over fields of characteristic p > 0 it is not enough to assume … Ver más There is a natural generalization in which the ring of polynomials is replaced by a one-dimensional function field. Let k be an algebraically closed … Ver más Snyder (2000) gave the following elementary proof of the Mason–Stothers theorem. Step 1. The condition a + b + c = 0 implies that the Wronskians W(a, b) = ab′ − a′b, W(b, c), and W(c, a) are all equal. Write W for their common value. Ver más • Weisstein, Eric W. "Mason's Theorem". MathWorld. • Mason-Stothers Theorem and the ABC Conjecture, Vishal Lama. A cleaned-up version of the proof from Lang's book. Ver más hbase backup master
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Webas the Mason-Stothers theorem. In what follows, we shall study the proof of the theorem and its connection to Belyi maps. Question 1.1 (The “actual” ABC Conjecture) Let a,b,c 2 N be relatively prime and a+b = c. Let d denote the product of prime factors of abc. Then, “usually”, c < d. More precisely, for every Web14 de jul. de 2024 · On a conjecture of Beard, O'Connell and West concerning perfect polynomials. Article. Jan 2008. Luis H. Gallardo. Paul Pollack. Olivier Rahavandrainy. … WebA theorem about polynomials, analogous to the abc conjecture for integersThe Mason–Stothers theorem, or simply Mason's theorem, is a mathematical theorem about polynomials, analogous to the abc conjecture for integers. It is named after Walter Wilson Stothers, who published it in 1981,[1] and R. C. Mason, who rediscovered it shortly … hb3116r intermatic timer