The distribution of the average prime divisor of an integer
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Publication:1054773
DOI10.1007/BF01193609zbMath0519.10027OpenAlexW2032786551MaRDI QIDQ1054773
Aleksandar Ivić, Jean-Marie De Koninck
Publication date: 1984
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01193609
asymptotic formulassummatory functionsnumber of distinct prime factorsaverage prime divisorlarge additive functionsnumber of all prime factors
Related Items (12)
The Most Frequent Values of the Largest Prime Divisor Function ⋮ Generalizing Ruth-Aaron Numbers ⋮ The average prime divisor of an integer in short intervals ⋮ Longest arithmetic progressions in reduced residue systems ⋮ An additive function on a ring of integers in the imaginary quadratic field Q(√d) with class-number one ⋮ Digital functions and sums involving the largest prime factor of an integer ⋮ On the largest prime factor of an integer ⋮ Random multiplicative walks on the residues modulo n ⋮ Additive functions and the largest prime factor of integers ⋮ Integers Divisible by the Sum of their Prime Factors ⋮ Unnamed Item ⋮ Integers without large prime factors
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