On certain sums of number theory

نویسندگان

چکیده

We study sums of the shape [Formula: see text] where is either von Mangoldt function or Dirichlet–Piltz divisor functions. improve previous estimates when and text], provide new results with breaking text]-barrier in each case. The functions are also investigated.

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ژورنال

عنوان ژورنال: International Journal of Number Theory

سال: 2022

ISSN: ['1793-7310', '1793-0421']

DOI: https://doi.org/10.1142/s1793042122501056