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Solving Pell Equations Locally in Models of IΔ0
The Journal of Symbolic Logic
Vol. 63, No. 2 (Jun., 1998), pp. 402-410
Published by: Association for Symbolic Logic
Stable URL: http://www.jstor.org/stable/2586838
Page Count: 9
You can always find the topics here!Topics: Nontrivial solutions, Logical theorems, Exponentiation, Mathematical theorems, Solvability, Number theory, Trivial solutions, Integers, Algebra
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In  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.
The Journal of Symbolic Logic © 1998 Association for Symbolic Logic