Published January 1, 2013
| Version v1
Journal article
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Squares in a certain sequence related to L-functions of elliptic curves
Creators
- 1. Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Fdn Marcos Moshinsky, CU, Mexico City 04510, DF, Mexico
- 2. Selcuk Univ, Fac Sci, Dept Math, TR-42075 Konya, Turkey
Description
Let 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.
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