Results 41 to 50 of about 86 (74)

Asymptotic equivalents of partial sums of the reciprocals of prime numbers via the von Mangoldt function

open access: yes
In this paper, we discuss an alternative approach to determine an asymptotic equivalent of the partial sum of the reciprocals of prime numbers. This well-known result, related to Merten's second theorem, is usually derived through methods similar to those found in Hardy and Wright's book ``An introduction to the theory of numbers'', involving ...
openaire   +2 more sources

Artificial skin--culturing of different skin cell lines for generating an artificial skin substitute on cross-weaved spider silk fibres. [PDF]

open access: yesPLoS One, 2011
Wendt H   +7 more
europepmc   +1 more source

Tissue engineering of cultured skin substitutes. [PDF]

open access: yesJ Cell Mol Med, 2005
Horch RE   +4 more
europepmc   +1 more source

Diced Costal Cartilage for Augmentation Rhinoplasty.

open access: yesChin Med J (Engl), 2015
Ma JG, Wang KM, Zhao XH, Cai L, Li X.
europepmc   +1 more source

A von Mangoldt Trace-Class Operator and Numerical Curvature Probes of the Completed Zeta Function

open access: yes
We define a diagonal operator on ℓ2(N) whose eigenvalues are generated by the von Mangoldt function Λ(n). For ℜ(s) > 0, the operator  of the completed Riemann zeta function. Under the Riemann Hypothesis, this curvature is formally positive away from the ordinates of the zeros. We compute C(t) numerically on sampled grids and compare
openaire   +1 more source

Spectral-Budget Isomorphism: The von Mangoldt Function from XOR-Annihilation and Closure Depth in the ORT Carrier

open access: yes
We close open problem OP-R5 of the ORT Riemann programme by proving the Spectral-Budget Isomorphism: Tr(Bnbm) = C · Λ(m), where Λ(m) is the von Mangoldt function and C is a carrier normalisation constant. The derivation uses no external number theory.
openaire   +1 more source

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