Title: On sums involving $[x/n]$.

Speaker: Wenguang Zhai

Time/Venue: 2018.11.26  10:00-11:00,   B1044

Abstract: Let $x>10$ be a real number  and $f$ be any arithmetic function. We study the asymptotic behaviour of the sum $\sum_{n\leq x}f([x/n]).$  When $f$ satisfy some conditions, asymptotic formulas are given.