Abstract Under the generalized Riemann hypothesis, we use Beurling–Selberg extremal functions to bound the mean and mean square of the argument of Dirichlet L$L$‐functions for a large prime modulus q$q$. As applications, we give alternative proofs of several results on low‐lying zeros of L(s,χ)$L(s,\chi)$ and obtain a new lower bound on the proportion ...
Tianyu Zhao
wiley +1 more source
Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
wiley +1 more source
Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley +1 more source
Abstract We survey ideas surrounding the study of the number of integers that can be represented as the sum of three positive cubes. We focus on the early contribution of Davenport using elementary techniques, and the subsequent developments due to Vaughan, which introduced Fourier analysis and mirrored many of the important developments of the Hardy ...
James Maynard
wiley +1 more source
The Fourier-Laplace Transform-A Conjugate Link Between the Material Brain and the Conscious Mind. [PDF]
Brändas EJ.
europepmc +1 more source
Ising Model on Random Triangulations of the Disk: Phase Transition. [PDF]
Chen L, Turunen J.
europepmc +1 more source
On the real zeroes of half-integral weight Hecke cusp forms. [PDF]
Jääsaari J.
europepmc +1 more source
Asymptotics of the Determinant of Discrete Laplacians on Triangulated and Quadrangulated Surfaces. [PDF]
Izyurov K, Khristoforov M.
europepmc +1 more source
Optimized intrusion detection for IoT networks using Cauchy-Gaussian hybrid evolutionary feature selection. [PDF]
Saranya T, Indra Priyadharshini S.
europepmc +1 more source
On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates. [PDF]
Garritano J +3 more
europepmc +1 more source

