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The Divisors of a Quadratic Polynomial

Published online by Cambridge University Press:  18 May 2009

E. J. Scourfield
E. J. Scourfield
Affiliation:
The University Glasgow
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Let f(n) = an2+ bn + c be an irreducible quadratic polynomial with integer coefficients, and let D denote the discriminant b2 – 4ac of f(n).We shall assume that (D, k) = 1, and that for all positive integer n, f(n) is positive and coprime with k, where k is a fixed integer greater than 1.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 5 , Issue 1 , January 1961 , pp. 8 - 20
Copyright
Copyright © Glasgow Mathematical Journal Trust 1961

References

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