On the Greatest Prime Factor of Some Divisibility Sequences

نویسندگان

  • AMIR AKBARY
  • SOROOSH YAZDANI
  • Ram Murty
چکیده

Let P (m) denote the greatest prime factor of m. For integer a > 1, M. Ram Murty and S. Wong proved that, under the assumption of the ABC conjecture, P (a − 1) ,a n2− for any > 0. We study analogues results for the corresponding divisibility sequence over the function field Fq(t) and for some divisibility sequences associated to elliptic curves over the rational field Q. In honor of M. Ram Murty on his sixtieth birthday

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تاریخ انتشار 2015