JWST observations at 15 and 25.5 μm reveal a smooth, radially broad debris disk around γ Ophiuchi extending to 250 au, interpreted as a steady-state collisional cascade from a wide planetesimal belt with possible low-eccentricity planetary perturbation.
Some subgroups of a finite field and their applications for obtaining explicit factors
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Let $\mathcal{S}_q$ denote the group of all square elements in the multiplicative group $\mathbb{F}_q^*$ of a finite field $\mathbb{F}_q$ of odd characteristic containing $q$ elements. Let $\mathcal{O}_q$ be the set of all odd order elements of $\mathbb{F}_q^*$. Then $\mathcal{O}_q$ turns up as a subgroup of $\mathcal{S}_q$. In this paper, we show that $\mathcal{O}_q=\langle4\rangle$ if $q=2t+1$ and, $\mathcal{O}_q=\langle t\rangle $ if $q=4t+1$, where $q$ and $t$ are odd primes. This paper also gives a direct method for obtaining the coefficients of irreducible factors of $x^{2^nt}-1$ in $\mathbb{F}_q[x]$ using the information of generator elements of $\mathcal{S}_q$ and $\mathcal{O}_q$, when $q$ and $t$ are odd primes such that $q=2t+1$ or $q=4t+1$.
years
2026 4verdicts
UNVERDICTED 4representative citing papers
Simulations of giant impacts between 0.2-4 Earth-mass planets yield post-impact luminosities of 5e-5 to 0.1 L_sun cooling over 1-2000 days, predicting 0-14 detections in Gaia DR4 and a comparable number in LSST.
Photoevaporative and collisional mass losses diversify exoplanet parameter space in ways consistent with standard core accretion, enabling an expanded eight-class classification scheme.
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citing papers explorer
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A radially broad collisional cascade in the debris disk of $\gamma$ Ophiuchi observed by JWST
JWST observations at 15 and 25.5 μm reveal a smooth, radially broad debris disk around γ Ophiuchi extending to 250 au, interpreted as a steady-state collisional cascade from a wide planetesimal belt with possible low-eccentricity planetary perturbation.
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Can giant impacts be directly detected in other star systems?
Simulations of giant impacts between 0.2-4 Earth-mass planets yield post-impact luminosities of 5e-5 to 0.1 L_sun cooling over 1-2000 days, predicting 0-14 detections in Gaia DR4 and a comparable number in LSST.
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Formation and evolution pathways of planets. I. Comparison between theory and observations
Photoevaporative and collisional mass losses diversify exoplanet parameter space in ways consistent with standard core accretion, enabling an expanded eight-class classification scheme.
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Blue Straggler Stars in Berkeley 18: A Multiwavelength Study of Their Physical Properties and Dynamical Evolution
Multiwavelength study identifies 24 BSS candidates in Berkeley 18, derives their properties via SEDs, and infers binary evolution as the dominant channel from low dynamical interaction indicators.