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Periods and the Asymptotics of a Diophantine Problem II

Published online by Cambridge University Press:  20 November 2018

Ben Lichtin*
Affiliation:
University of Rochester, Rochester, NY 14627, USA
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Let P(z1,…, zn) be a polynomial with positive coefficients. For positive x define A classical diophantine problem is to describe the asymptotic behavior of N1(x) as x → ∞. More generally, one can introduce a second polynomial φ satisfying the condition (0.1) Sign φ (m) is constant for all m outside at most a finite subset of ℕn.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1991

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