Elliott-Halberstam conjecture and values taken by the largest prime factor of shifted primes
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DOI: 10.1016/j.jnt.2019.06.015
Abstract: Abstract Denote by P the set of all primes and by P + ( n ) the largest prime factor of integer n ⩾ 1 with the convention P + ( 1 ) = 1… read more here.
Keywords: prime factor; elliott halberstam; halberstam conjecture; largest prime ... See more keywords
Three conjectures on P+(n) and P+(n + 1) hold under the Elliott-Halberstam conjecture for friable integers
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DOI: 10.1016/j.jnt.2020.12.013
Abstract: Abstract Denote by P + ( n ) the largest prime factor of an integer n. In this paper, we show that the Elliott-Halberstam conjecture for friable integers (or smooth integers) implies three conjectures concerning… read more here.
Keywords: halberstam conjecture; three conjectures; conjecture friable; elliott halberstam ... See more keywords