Squares in a certain sequence related to L-functions of elliptic curves
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ACADEMIC PRESS INC ELSEVIER SCIENCE
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
L-functions of elliptic curves, Linear recurrence sequences
Kaynak
FINITE FIELDS AND THEIR APPLICATIONS
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
21
