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19952026
most citedThe Gaia mission

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math.AC2023★ 3 cited

Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes

Manuel González-Sarabia, Humberto Muñoz-George, Jorge A. Ordaz +2

For projective Reed--Muller-type codes we give a global duality criterion in terms of the v-number and the Hilbert function of a vanishing ideal. As an application, we provide a gl…

math.NT2023

The computation of , and beyond by using telescoping series

Óscar Ciaurri, Luis M. Navas, Francisco J. Ruiz +1

We present some simple proofs of the well-known expressions for \[ ζ(2k) = \sum_{m=1}^\infty \frac{1}{m^{2k}}, \qquad β(2k+1) = \sum_{m=0}^\infty \frac{(-1)^m}{(2m+1)^{2k+1}}, \] w…

physics.class-ph2023★ 1 cited

Higher-order composition of short- and long-period effects for improving analytical ephemeris computation

Martin Lara, Elena Fantino, Hadi Susanto +1

The construction of an analytic orbit theory that takes into account the main effects of the Geopotential is notably simplified when splitting the removal of periodic effects in se…

math.DS2023★ 6 cited

On mean elements in artificial satellite theory

Martin Lara

The merits of a perturbation theory based on a mean to osculating transformation that is pure periodic in the fast angle are investigated. The exact separation of the purely short-…

math.AC2023

-pure thresholds and -Volumes of some non principal ideals

Wágner Badilla-Céspedes, Edwin León-Cardenal

We compute the -pure threshold of some non-principal ideals which satisfy a geometric generic condition about their Newton polyhedron. We also contribute some evidence in favor…

nlin.CD2023★ 2 cited

Nonlinear dynamics of molecular superrotors

Cristel Chandre, J. Pablo Salas

We consider a diatomic molecule driven by a linearly polarized laser pulse with a polarization axis rotating with a constant acceleration. This setup is referred to as optical cent…