Results 81 to 90 of about 273 (174)

Bounded exponential sums with multiplicative coefficients

open access: yesMathematika, Volume 72, Issue 4, October 2026.
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

An Algorithm for the Factorization of Split Quaternion Polynomials. [PDF]

open access: yesAdv Appl Clifford Algebr, 2021
Scharler DF, Schröcker HP.
europepmc   +1 more source

Colourings of Uniform Group Divisible Designs and Maximum Packings

open access: yesJournal of Combinatorial Designs, Volume 34, Issue 9, Page 437-456, September 2026.
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]

open access: yesCommun Math Phys
Bedrossian J, Punshon-Smith S.
europepmc   +1 more source

Signed Projective Cubes, a Homomorphism Point of View

open access: yesJournal of Graph Theory, Volume 113, Issue 1, Page 38-56, September 2026.
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

Four Directions, One Solution: Enabling Rapid Diffusion Tensor MRI for Ultra‐Low Field Using Deep Learning

open access: yesMagnetic Resonance in Medicine, Volume 96, Issue 3, Page 1413-1426, September 2026.
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

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