Results 81 to 90 of about 273 (174)
Bounded exponential sums with multiplicative coefficients
Abstract We investigate when the exponential sum Sf(x,α):=∑n⩽xf(n)e(nα)$S_f(x,\alpha) := \sum _{n\leqslant x}f(n)\mathrm{e}(n\alpha)$ is bounded, for a multiplicative function f$f$ and α∈R$\alpha \in \mathbb {R}$. We show that under natural assumptions, Sf(x,α)$S_f(x,\alpha)$ is bounded only when f$f$ is very close to a twisted Dirichlet character χ(n ...
Péa Bazin, Ihor Pylaiev, Fred Tyrrell
wiley +1 more source
Geometry and quantum brachistochrone analysis of multiple entangled spin-1/2 particles under all-range Ising interaction. [PDF]
Amghar B +5 more
europepmc +1 more source
An Algorithm for the Factorization of Split Quaternion Polynomials. [PDF]
Scharler DF, Schröcker HP.
europepmc +1 more source
Colourings of Uniform Group Divisible Designs and Maximum Packings
ABSTRACT A weak c‐colouring of a design is an assignment of colours to its points from a set of c available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess +6 more
wiley +1 more source
Chaos in Stochastic 2d Galerkin-Navier-Stokes. [PDF]
Bedrossian J, Punshon-Smith S.
europepmc +1 more source
Signed Projective Cubes, a Homomorphism Point of View
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Exploring Ground and Excited States Via Single Reference Coupled-Cluster Theory and Algebraic Geometry. [PDF]
Sverrisdóttir S, Faulstich FM.
europepmc +1 more source
ABSTRACT Purpose This study revisits the tetrahedral encoding strategy originally proposed to accelerate Diffusion Tensor Magnetic Resonance Imaging (DT‐MRI) by reducing the requisite number of diffusion‐weighted measurements to four. We examine its practical limitations and explore how artificial intelligence (AI) can extend its utility. Specifically,
Joshua Mawuli Ametepe +4 more
wiley +1 more source
New quantum LDPC codes based on projective geometry. [PDF]
Tang C, Bai C, Feng Y.
europepmc +1 more source
Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]
Patakfalvi Z, Zdanowicz M.
europepmc +1 more source

