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... $m$ be a large integer, $x_j$
denote integer variables. We prove that for any positive integers $N_1,N_2,N_3$
with $N_1N_2N_3>m^{1+\epsilon},$ the set $$ \{x_1x_2x_3 \pmod m: \quad x_j\in
[1,N_j] \} $$...to $m+o(m)$). We further show that if $m$ is cubefree,
then for any positive integers $N_1,N_2,N_3,N_4$ with
$N_1N_2N_3N_4>m^{1+\epsilon},$ the set $$ \{x_1x_2x_3x_4 \pmod m: \quad x_j\in
[1,N_j] \}...
http://arxivmath.livejournal.com/3101504.html
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Published: 11 months, 2 weeks ago (Tue, 29 Jul 2008 01:41:32 PDT); 1410 bytes
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