1 citations · 1 across the 1 of their papers we have counts for
2 papers
math.NT2026
A note on Riemann's -function and almost primes
Martin Belton
The real-axis jump of the prime-zeta function gives an integral form of Gram's series for Riemann's -function. Applying the same operation to the classical almost-prime generati…
math.NT2014★ 1 cited
Asymptotic density of k-almost primes
Martin Belton
Landau's well known asymptotic formula $$N_k(x):=\ \mid\{n\leq x : Ω(n)=k\}\mid \ \sim \left( \frac{x}{\log x} \right) \frac{(\log\log x)^{k-1}}{(k - 1)!}\ \ (x \rightarrow \infty)…