Squares in a certain sequence related to L -functions of elliptic curves

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 May 2013 Turkey English Publisher:Elsevier BVJournal:Finite Fields and Their Applications, volume 21, pages 1-10 (issn: 1071-5797,

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Authors: Florian Luca; Aynur Yalçiner;

doi: 10.1016/j.ffa.2013.01.005

handle: 20.500.12395/29839

Squares in a certain sequence related to L -functions of elliptic curves

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Abstract

Abstract Let L ( s , E ) = ∑ 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 n 2 + 1 = □ has asymptotic density 0.

Country

Turkey

Related Organizations

National Autonomous University of Mexico
Mexico
Selçuk University
Turkey

Keywords

Linear recurrence sequences, L-functions of elliptic curves

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