Diophantine inequalities involving a prime and an almost-prime
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2016.05.008
Abstract: Abstract We prove that there are infinitely many solutions of | λ 0 + λ 1 p + λ 2 P 3 | p − 1 131 , where λ 0 is an arbitrary real… read more here.
Keywords: diophantine inequalities; inequalities involving; involving prime; prime almost ... See more keywords
Almost-prime times in horospherical flows on the space of lattices
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Modern Dynamics"
DOI: 10.3934/jmd.2019022
Abstract: An integer is called almost-prime if it has fewer than a fixed number of prime factors. In this paper, we study the asymptotic distribution of almost-prime entries in horospherical flows on \begin{document}$ \Gamma\backslash {{\rm{SL}}}_n(\mathbb{R}) $\end{document}… read more here.
Keywords: horospherical flows; document; flows space; almost prime ... See more keywords