Results 61 to 70 of about 10,375,970 (302)
On the Monogenity of Totally Complex Pure Octic Fields
AxiomsLet 0,1≠m∈Z and α=m8. According to the results of Gaál and El Fadil, α generates a power integral basis in K=Q(α), if and only if m is square-free and m≢1(mod4).
István Gaál
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Polynomials Generating Maximal Real Subfields of Circular Fields [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 We have constructed recurrence formulas for polynomials qn(x) ɕ Q[x], any root of which generates the maximal real subfield of circular field K2n. It has been shown that all real subfields of fixed field K2n can be described by using polynomial qn(x) and
I.G. Galyautdinov, E.E. Lavrentyeva
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Deformations of vector-scalar models
Journal of High Energy Physics, 2018 Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations (“gaugings”), i.e., the deformations that preserve the number (but not necessarily ...
Glenn Barnich +5 more
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Advanced Science, EarlyView.Electroforming‐free, self‐rectifying switching with polarity‐dependent threshold modulation is realized in selector‐only memory through Cu‐ion migration in a bilayer stacked dual functional materials. Ultrafast rupturing of Cu filament enables drift‐free operation with high stability.
Jae‐Kyeong Kim +7 more
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MathematicsThe rational field Q is highly desired in many applications. Algorithms using the rational number field Q algebraic number fields use only integer arithmetics and are easy to implement.
Ran Lu
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A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher
IEEE Access, 2020 In the symmetric key cryptography, the purpose of the substitution box is to generate confusion and hence improve the security of the whole cryptosystem.
Sadam Hussain +3 more
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, 1991 This thesis investigates various theorems on polynomials over the rationals, algebraic numbers, algebraic integers, and quadratic fields. The material selected in this study is more of a number theoretical aspect than that of an algebraic structural ...
Hartsell, Melanie Lynne
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Character Sums in Algebraic Number Fields [PDF]
, 1994 Periodic arithmetical functions in algebraic number fields are investigated in regard to their average order.
Rausch, U.
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Advanced Science, EarlyView.The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English +9 more
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Algebraic Number Theory and Simplest Cubic Fields [PDF]
, 2018 The motivation behind this paper lies in understanding the meaning of integrality in general number fields. I present some important definitions and results in algebraic number theory, as well as theorems and their proofs on cyclic cubic fields.
Yang, Jianing
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