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Smooth Values of Polynomials

Given f∈Z[t] of positive degree, we investigate the existence of auxiliary polynomials g∈Z[t] for which f(g(t)) 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 n∈N for which the largest prime factor of f(n) is no larger than nε .

Ketersediaan

Informasi Detail

Judul Seri

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY; Vol.108 Issue 2 April 2020

No. Panggil

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Penerbit

: .,

Deskripsi Fisik

p. 245 - 261

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

POLYNOMIALS
SMOOTH NUMBERS
SMALL DEGREE IRREDUCIBLE FACTORS

Info Detail Spesifik

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Pernyataan Tanggungjawab

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

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