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Arithmetical Properties of Polynomials
Author(s) -
Erdös P.
Publication year - 1953
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s1-28.4.416
Subject(s) - arithmetic function , citation , computer science , mathematics , combinatorics , arithmetic , algebra over a field , discrete mathematics , library science , pure mathematics
1. Throughout this paper f (x) will denote a polynomial whose coefficients are integers with highest common factor 1, and 1 will denote the degree of f (x). We assume that the highest coefficient in f (x) is positive. It has been known for some time that if f (x) is not the l-th 'power of a linear polynomial with integral coefficients then there are infinitely ,