Michael J. Mossinghoff

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20052026

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25 citations · 47 across the 19 of their papers we have counts for

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math.NT2020

Oscillations in weighted arithmetic sums

Michael J. Mossinghoff, Timothy S. Trudgian

We examine oscillations in a number of sums of arithmetic functions involving $Ω (n)$ , the total number of prime factors of $n$ , and $ω (n)$ , the number of distinct prime factors of…

math.NT2020★ 1 cited

The size of oscillations in the Goldbach conjecture

Michael J. Mossinghoff, Timothy S. Trudgian

Let $R (n) = \sum_{a + b = n} Λ (a) Λ (b)$ , where $Λ (\cdot)$ is the von Mangoldt function. The function $R (n)$ is often studied in connection with Goldbach's conjecture. On the Riemann hyp…