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Bounding the coefficients of a divisor of a given polynomial

โœ Scribed by Andrew Granville

Publisher
Springer Vienna
Year
1990
Tongue
English
Weight
219 KB
Volume
109
Category
Article
ISSN
0026-9255

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Let F โŠ‚ K be fields of characteristic 0, and let K x denote the ring of polynomials with coefficients in K. โˆˆ F for some j โ‰ฅ 1. Suppose that p โˆˆ K x , q โˆˆ K x \F x p not constant. Our main result is that p โ€ข q / โˆˆ F x and D F p โ€ข q = D F q . With only the assumption that a n b m โˆˆ F, we prove the i