Author:
FORD KEVIN,LUCA FLORIAN,SHPARLINSKI IGOR E.
Abstract
AbstractLetP(k) be the largest prime factor of the positive integerk. In this paper, we prove that the seriesis convergent for each constantα<1/2, which gives a more precise form of a result of C. L. Stewart [‘On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers’,Proc. London Math. Soc.35(3) (1977), 425–447].
Publisher
Cambridge University Press (CUP)
Reference17 articles.
1. An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers II;Matveev;Izv. Ross. Akad. Nauk. Ser. Math.,2000
2. On Primitive Prime Factors of an-bn
3. [15] Stewart C. L. , ‘The greatest prime factor of a n −b n ’, Acta Arith. 26(4) (1974/75), 427–433.
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献