Luca, FlorianYalciner, Aynur2020-03-262020-03-2620131071-5797https://dx.doi.org/10.1016/j.ffa.2013.01.005https://hdl.handle.net/20.500.12395/29839Let L(s, E) = Sigma(n >= 1) a(n)n(-s) be the L-series corresponding to an elliptic curve E defined over Q and satisfying certain technical conditions. We prove that the set of positive integers n such that n(2) - a(n2) + 1 = square has asymptotic density 0. (C) 2013 Elsevier Inc. All rights reserved.en10.1016/j.ffa.2013.01.005info:eu-repo/semantics/openAccessL-functions of elliptic curvesLinear recurrence sequencesSquares in a certain sequence related to L-functions of elliptic curvesArticle21110Q1WOS:000316034600001Q3