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Solving Pell Equations Locally in Models of IΔ0

Paola D'Aquino
The Journal of Symbolic Logic
Vol. 63, No. 2 (Jun., 1998), pp. 402-410
DOI: 10.2307/2586838
Stable URL: http://www.jstor.org/stable/2586838
Page Count: 9
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Solving Pell Equations Locally in Models of IΔ0
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Abstract

In [4] it is shown that only using exponentiation can one prove the existence of non trivial solutions of Pell equations in IΔ0. However, in this paper we will prove that any Pell equation has a non trivial solution modulo m for every m in IΔ0.

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