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Polynomial composites and certain types of fields extensions
In this paper, we consider polynomial composites with the coefficients from $K\subset L$. We already know many properties, but we do not know the answer to the question of whether there is a relationship between composites and field extensions.
Ł. Matysiak
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These lecture notes provide a brief introduction to extensions of gravity and their connections to dark energy. Due to time and space limitations this is not a comprehensive review of the field. Instead, I aim to introduce key concepts and ideas in this
Clare Burrage
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Extensions of two-field mimetic gravity
Two-field mimetic gravity was recently realized by looking at the singular limit of the conformal transformation between the auxiliary metric and the physical metric with two scalar fields involved.
Yunlong Zheng, Haomin Rao
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ISA Extensions for Finite Field Arithmetic
We present and evaluate a custom extension to the RISC-V instruction set for finite field arithmetic. The result serves as a very compact approach to software-hardware co-design of PQC implementations in the context of small embedded processors such as ...
Erdem Alkim +4 more
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A Retrospective Study on Skellam and Related Distributions
This paper reviews works on Skellam distribution, its extensions and areas of applications. Available literature shows that this distribution is flexible for modelling integer data where they appear as count data or paired count data in the field of ...
Lishamol Tomy, Veena G
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The eigenspaces of twisted polynomials over cyclic field extensions
Let K be a field and σ an automorphism of K of order n. Employing a nonassociative algebra, we study the eigenspace of a bounded skew polynomial f ∈ K[t; σ].
Owen Adam, Pumplün Susanne
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Some interactions between Hopf Galois extensions and noncommutative rings
In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
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A Database for Field Extensions of the Rationals [PDF]
AbstractThis paper announces the creation of a database for number fields. It describes the contents and the methods of access, indicates the origin of the polynomials, and formulates the aims of this collection of fields.
Jürgen Klüners, Gunter Malle
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A bridge to new physics: proposing new — and reviving old — explanations of a μ
The 4.2 σ tension in the combined measurement of the anomalous magnetic moment of the muon, a μ , and the Standard Model prediction strongly suggests the existence of beyond the Standard Model physics.
Guilherme Guedes, Pablo Olgoso
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LOCAL EXTENSIONS WITH IMPERFECT RESIDUE FIELD
The paper deals with some aspects of general local fields and tries to elucidate some obscure facts. Indeed, several questions remain open, in this domain of research, and literature is getting scarce.
Akram Lbekkouri
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