caa a22 4500 388039183 CHVBK 20180307125016.0 cr unu---uuuuu 161130e199806 xx s 000 0 eng 10.2307/2586838 doi S0022481200014961 pii (NATIONALLICENCE)cambridge-10.2307/2586838 D'Aquino Paola Istituto di Matematica, Seconda Università di Napoli, Piazza Duomo, 81100 Caserta, Italy Solving Pell equations locally in models of IΔ0 [Elektronische Daten] [Paola D'Aquino] 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. Copyright © Association for Symbolic Logic 1998 The Journal of Symbolic Logic Cambridge University Press 63/2(1998-06), 402-410 0022-4812 63:2<402 1998 63 JSL https://doi.org/10.2307/2586838 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.2307/2586838 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- D'Aquino Paola Istituto di Matematica, Seconda Università di Napoli, Piazza Duomo, 81100 Caserta, Italy NATIONALLICENCE 773 0- The Journal of Symbolic Logic Cambridge University Press 63/2(1998-06), 402-410 0022-4812 63:2<402 1998 63 JSL CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge