Smooth Values of Polynomials

J. W. Bober*, D. Fretwell, G. Martin, T. D. Wooley

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

1 Dyfyniad (Scopus)

Crynodeb

Given f Z[t] of positive degree, we investigate the existence of auxiliary polynomials g Z[t] for which factors as a product of polynomials of small relative degree. One consequence of this work shows that for any quadratic polynomial f Z[t] and any ϵ > 0, there are infinitely many for which the largest prime factor of f(n) is no larger than n.

Iaith wreiddiolSaesneg
Tudalennau (o-i)245-261
Nifer y tudalennau17
CyfnodolynJournal of the Australian Mathematical Society
Cyfrol108
Rhif cyhoeddi2
Dyddiad ar-lein cynnar1 Chwef 2019
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 1 Ebr 2020
Cyhoeddwyd yn allanolIe

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