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RIESZ MEANS OF THE DEDEKIND FUNCTION

RIESZ 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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Annealed fractional Lévy-Itō diffusion models for protein generation. [PDF]

Comput Struct Biotechnol J
Paquet E, Soleymani F, Viktor HL, Michalowski W.   +3 more
europepmc   +1 more source

PDMS Membranes Drilled by Proton Microbeam Writing: A Customizable Platform for the Investigation of Endothelial Cell-Substrate Interactions in Transwell-like Devices. [PDF]

J Funct Biomater
Guarino V, Vasco G, Arima V, Cataldo R, Zizzari A, Perrone E, Gigli G, Cesaria M.   +7 more
europepmc   +1 more source

Function theory on the annulus in the dp-norm. [PDF]

Integr Equ Oper Theory
Agler J, Lykova ZA, Young NJ.
europepmc   +1 more source

An Effective Non-Rigid Registration Approach for Ultrasound Images Based on the Improved Variational Model of Intensity, Local Phase Information and Descriptor Matching. [PDF]

J Imaging
Zhang K, Xing J, Xiao Q.
europepmc   +1 more source

A Positive Semidefinite Safe Approximation of Multivariate Distributionally Robust Constraints Determined by Simple Functions. [PDF]

J Optim Theory Appl
Dienstbier J, Liers F, Rolfes J.
europepmc   +1 more source

Dynamics, Noise, Delays and the Gibbs and Conditional Entropy. [PDF]

Entropy (Basel)
Mackey MC, Tyran-Kamińska M.
europepmc   +1 more source

The Image Biomarker Standardization Initiative: Standardized Convolutional Filters for Reproducible Radiomics and Enhanced Clinical Insights. [PDF]

Radiology
Whybra P, Zwanenburg A, Andrearczyk V, Schaer R, Apte AP, Ayotte A, Baheti B, Bakas S, Bettinelli A, Boellaard R, Boldrini L, Buvat I, Cook GJR, Dietsche F, Dinapoli N, Gabryś HS, Goh V, Guckenberger M, Hatt M, Hosseinzadeh M, Iyer A, Lenkowicz J, Loutfi MAL, Löck S, Marturano F, Morin O, Nioche C, Orlhac F, Pati S, Rahmim A, Rezaeijo SM, Rookyard CG, Salmanpour MR, Schindele A, Shiri I, Spezi E, Tanadini-Lang S, Tixier F, Upadhaya T, Valentini V, van Griethuysen JJM, Yousefirizi F, Zaidi H, Müller H, Vallières M, Depeursinge A.   +45 more
europepmc   +1 more source

Efficient Post-Shrinkage Estimation Strategies in High-Dimensional Cox's Proportional Hazards Models. [PDF]

Entropy (Basel)
Ahmed SE, Arabi Belaghi R, Hussein AA.
europepmc   +1 more source

The edge-averaging process on graphs with random initial opinions. [PDF]

Proc Natl Acad Sci U S A
Elboim D, Peres Y, Peretz R.
europepmc   +1 more source