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Keywords:
asymptotical formula; exponential sum; exponential pair; integral part
asymptotical formula; exponential sum; exponential pair; integral part
Summary:
Let $[t]$ be the integral part of a real number $t$, and let $f$ be the arithmetic function satisfying some simple condition. We establish a new asymptotical formula for the sum $S_f (x)=\sum _{n\le x}f([ x/ n ])$, which improves the recent result of J. Stucky (2022).
References:
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