Results 1 to 10 of about 184 (101)
Trinomial Planar Functions on Cubic and Quartic Extensions of Finite Fields [PDF]
, 2023 Planar functions, introduced by Dembowski and Ostrom, are functions from a finite field to itself that give rise to finite projective planes. They exist, however, only for finite fields of odd characteristics. They have attracted much attention in the last decade thanks to their interest in theory and those deep and various applications in many fields.
Chen, Ruikai, Mesnager, Sihem
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Ranks of elliptic curves over cyclic cubic, quartic, and sextic extensions [PDF]
, 2014 17 ...
Neeraj Kashyap
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Existence results for primitive elements in cubic and quartic extensions of a finite field [PDF]
Mathematics of Computation, 2018 With F q \mathbb {F}_q
Geoff Bailey +3 more
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Power integral bases in cubic and quartic extensions of real quadratic fields [PDF]
Acta Scientiarum Mathematicarum, 2019 Investigations of monogenity and power integral bases were recently extended from the absolute case (over Q) to the relative case (over algebraic number fields). Formerly, in the relative case we only succeeded to calculate generators of power integral bases when the ground field is an imaginary quadratic field.
Gaál, István, Remete, László
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Calculation of resonant states using an optimal path of continuous extension of the bound states: The cubic and quartic energy distortion of the harmonic oscillator [PDF]
The Journal of Chemical Physics, 1989 Resonant eigenvectors are calculated within the framework of the complex rotation theory using a continuous deformation and extension of the localized bound states through the potential barrier. The vector is obtained by gradually increasing the basis size and defining for each new basis a lesser perturbation path which best verifies the complex ...
Georges Jolicard, Marie-Yvonne Perrin
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Pólya fields and Kuroda/Kubota unit formula
Mathematics Open, 2023 Let K be a number field. The Pólya field concept is used to know when the module of integer-valued polynomials over the ring of integers [Formula: see text] of K has a regular basis. In [C. W.-W.
Charles Wend-Waoga Tougma
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Electroweak phase transition triggered by fermion sector
Journal of High Energy Physics, 2022 To realize first-order electroweak phase transition, it is necessary to generate a barrier in the thermal Higgs potential, which is usually triggered by scalar degree of freedom. We instead investigate phase transition patterns in pure fermion extensions
Qing-Hong Cao +4 more
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A twistorial description of the IKKT-matrix model
Journal of High Energy Physics, 2022 We consider the fuzzy 4-sphere S N 4 $$ {S}_N^4 $$ as a background in the IKKT matrix model, and explore the relation between S N 4 $$ {S}_N^4 $$ and fuzzy twistor space in the semi-classical limit.
Harold C. Steinacker, Tung Tran
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International Journal of Mathematics and Mathematical Sciences, 2003 A correspondence between quartic étale algebras over a field and quadratic étale extensions of cubic étale algebras is set up and investigated. The basic constructions are laid out in general for sets with a profinite group action and for torsors, and ...
Max-Albert Knus, Jean-Pierre Tignol
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Improved unitarity constraints in Two-Higgs-Doublet-Models
Physics Letters B, 2019 Two-Higgs-Doublet-Models (THDMs) are among the simplest extensions of the standard model and are intensively studied in the literature. Using on-shell parameters such as the masses of the additional scalars as input, corresponds often to large quartic ...
Mark D. Goodsell, Florian Staub
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