L-FUNCTIONS OF ELLIPTIC CURVES AND BINARY RECURRENCES

Küçük Resim Yok

Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

CAMBRIDGE UNIV PRESS

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 u = {u(m)}(m >= 0) be a nondegenerate binary recurrence sequence. We prove that if M-E is the set of n such that a(n) not equal 0 and N-E is the subset of n is an element of M-E such that vertical bar a(n)vertical bar = vertical bar u(m)vertical bar holds with some integer m >= 0, then N-E is of density 0 as a subset of M-E.

Açıklama

Anahtar Kelimeler

L-functions of elliptic curves, linear recurrence sequences

Kaynak

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

88

Sayı

3

Künye