Yazar "Luca, Florian" seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim Yok
    Öğe
    Arithmetic properties of coefficients of L-functions of elliptic curves
    (SPRINGER WIEN, 2018) Guloglu, Ahmet M.; Luca, Florian; Yalciner, Aynur
    Let n = 1 ann -s be the L-series of an elliptic curve E defined over the rationals without complex multiplication. In this paper, we present certain similarities between the arithmetic properties of the coefficients {an}8 n= 1 and Euler's totient function.(n). Furthermore, we prove that both the set of n such that the regular polygon with | an| sides is ruler-and-compass constructible, and the set of n such that n-an + 1 =.(n) have asymptotic density zero. Finally, we improve a bound of Luca and Shparlinski on the counting function of elliptic pseudoprimes.
  • Küçük Resim Yok
    Öğe
    L-FUNCTIONS OF ELLIPTIC CURVES AND BINARY RECURRENCES
    (CAMBRIDGE UNIV PRESS, 2013) Luca, Florian; Oyono, Roger; Yalciner, Aynur
    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.
  • Küçük Resim Yok
    Öğe
    Squares in a certain sequence related to L-functions of elliptic curves
    (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2013) Luca, Florian; Yalciner, Aynur
    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.