Concept
Prime omega function
Publications associées (16)
A NEW PROOF OF THE ERDOS-KAC CENTRAL LIMIT THEOREM
Thomas Mountford, Michael Cranston
In this paper we use the Riemann zeta distribution to give a new proof of the Erdos-Kac Central Limit Theorem. That is, if zeta(s) = Sigma(n >= 1) (1)(s)(n) , s > 1, then we consider the random variable X-s with P(X-s = n) = (1) (zeta) ( ...
Providence2023Semiclassical Estimates for Eigenvalue Means of Laplacians on Spheres
Joachim Stubbe, Luigi Provenzano, Paolo Luzzini, Davide Buoso
We compute three-term semiclassical asymptotic expansions of counting functions and Riesz-means of the eigenvalues of the Laplacian on spheres and hemispheres, for both Dirichlet and Neumann boundary conditions. Specifically for Riesz-means we prove upper ...
SPRINGER2023J-domain protein chaperone circuits in proteostasis and disease
Paolo De Los Rios, Duccio Malinverni, Ruobing Zhang
The J-domain proteins (JDP) form the largest protein family among cellular chaperones. In cooperation with the Hsp70 chaperone system, these co-chaperones orchestrate a plethora of distinct functions, including those that help maintain cellular proteostasi ...
ELSEVIER SCIENCE LONDON2022Spectral analysis for transmission eigenvalue problems with and without the complementing conditions
The interior transmission eigenvalue problem is a system of partial differential equations equipped with Cauchy data on the boundary: the transmission conditions. This problem appears in the inverse scattering theory for inhomogeneous media when, for some ...
EPFL2022The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations
Hoài-Minh Nguyên, Jean Louis-Alexandre Fornerod
Cakoni and Nguyen recently proposed very general conditions on the coefficients of Maxwell equations for which they established the discreten ess of the set of eigenvalues of the transmission problem and studied their locations. In this paper, we establish ...
2021Perivascular macrophages in health and disease
Macrophages are a heterogeneous group of cells that are capable of carrying out distinct functions in different tissues, as well as in different locations within a given tissue. Some of these tissue macrophages lie on, or close to, the outer (abluminal) su ...
Nature Publishing Group2018On the size of Satake parameters for unitary cuspidal automorphic representations for GL(4)
Let Pi be a cuspidal automorphic representation for GL(4) over a number field F. We obtain unconditional lower bounds on the number of places at which the Satake parameters are not "too large". In the case of self-dual Pi with non-trivial central character ...
Academic Press Inc Elsevier Science2013