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On a sum involving the Euler function

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 نشر من قبل Igor Shparlinski
 تاريخ النشر 2018
  مجال البحث
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We obtain reasonably tight upper and lower bounds on the sum $sum_{n leqslant x} varphi left( leftlfloor{x/n}rightrfloorright)$, involving the Euler functions $varphi$ and the integer parts $leftlfloor{x/n}rightrfloor$ of the reciprocals of integers.

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