Results 61 to 70 of about 86 (74)
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UNEXPECTED AVERAGE VALUES OF GENERALIZED VON MANGOLDT FUNCTIONS IN RESIDUE CLASSES

Journal of the Australian Mathematical Society, 2020
AbstractIn order to study integers with few prime factors, the average of $\unicode[STIX]{x1D6EC}_{k}=\unicode[STIX]{x1D707}\ast \log ^{k}$ has been a central object of research. One of the more important cases, $k=2$, was considered by Selberg [‘An elementary proof of the prime-number theorem’, Ann. of Math. (2)50 (1949), 305–313].
NICOLAS ROBLES, ARINDAM ROY
openaire   +1 more source

On a sum involving the Mangoldt function

Periodica Mathematica Hungarica, 2020
Jie Wu
exaly  

Derivation of von Mangoldt’s Formula for $$\Psi (x)$$

SpringerBriefs in History of Science and Technology, 2021
Walter Dittrich, Dittrich Walter
exaly  

Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges

Proceedings of the London Mathematical Society, 2019
Terence Tao, Kaisa Matomäki
exaly  

The omitted mathematics of Hans von Mangoldt

Journal of Economic Studies, 2000
Bert Mosselmans
exaly  

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