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RIESZ MEANS OF THE DEDEKIND FUNCTION

open access: yesRIESZ MEANS OF THE DEDEKIND FUNCTION
Let ψ denote the Dedekind totient function by id ∗ μ^2, where μ is the Möbius function. We establish the asymptotic formula of the general kth Riesz mean of the arithmetical function n/ψ(n) for any positive integer k ≥ 2; namely 1/k!Σ__〈n ≤x〉n/(ψ(n))(1-n/x)^k=(ζ(4)h(1))/( (k + 1)!ζ(2))x+O(1/kexp(-C((logx)^〈1/3〉)/((log logx)^〈1/3〉))) with h(1)=П__p(1+1/(
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Pericyte-Assisted Vascular Lumen Organization in a Novel Dynamic Human Blood-Brain Barrier-on-Chip Model. [PDF]

open access: yesAdv Healthc Mater
Guarino V   +9 more
europepmc   +1 more source

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