Results 31 to 40 of about 4,829,005 (281)
Real quadratic number fields with metacyclic Hilbert $2$-class field tower [PDF]
Mathematica Bohemica, 2019 We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a metacyclic Hilbert 2-class field tower, and then we will determine all real quadratic number fields $\mathbb Q(\sqrt d)$ that have a metacyclic nonabelian ...
Said Essahel, Ahmed Dakkak, Ali Mouhib
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Quaternary quadratic lattices over number fields
, 2018 We relate proper isometry classes of maximal lattices in a totally definite quaternary quadratic space (V,q) with trivial discriminant to certain equivalence classes of ideals in the quaternion algebra representing the Clifford invariant of (V,q).
Dieudonné J. +7 more
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PAC fields over number fields [PDF]
Journal de théorie des nombres de Bordeaux, 2008 We prove that if K is a number field and N is a Galois extension of ℚ which is not algebraically closed, then N is not PAC over K.
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The Genus Field and Genus Number in Algebraic Number Fields [PDF]
Nagoya Mathematical Journal, 1967 Let k be an algebraic number field and K be its normal extension of finite degree. Then the genus field K* of K over k is defined as the maximal unramified extension of K which is obtained from K by composing an abelian extension over k2). We call the degree (K*: K) the genus number of K over k.
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On number fields with nontrivial subfields
, 2012 What is the probability for a number field of composite degree $d$ to have a nontrivial subfield? As the reader might expect the answer heavily depends on the interpretation of probability. We show that if the fields are enumerated by the smallest height
Bailey A. M. +5 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Transfusion‐related iron overload (TRIO) is a late effect of therapy impacting survivors of childhood cancer and hematopoietic stem cell transplantation (HSCT) who receive frequent packed red blood cell (pRBC) transfusions. Surprisingly, there are no accepted guidelines to assist providers in identifying and treating at‐risk ...
Luke Gingell +3 more
wiley +1 more source
Some Properties of Extended Euler’s Function and Extended Dedekind’s Function
Mathematics, 2020 In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields ...
Nicuşor Minculete, Diana Savin
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Gaussian Pseudorandom Number Generator Using Linear Feedback Shift Registers in Extended Fields
Mathematics, 2021 A new proposal to generate pseudorandom numbers with Gaussian distribution is presented. The generator is a generalization to the extended field GF(2n) of the one using cyclic rotations of linear feedback shift registers (LFSRs) originally defined in GF ...
Guillermo Cotrina +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Childhood cancer survivors (CCS) have an increased risk of long‐term health complications, including treatment‐related hearing loss. Although early detection is important, many adult survivors do not attend hearing screenings in clinical centers because visits can be logistically or emotionally burdensome.
Philippa Jörger +9 more
wiley +1 more source
Quantized fields induced topological features in Harper-Hofstadter model
AAPPS Bulletin, 2023 Classical magnetic fields might change the properties of topological insulators such as the time reversal symmetry protected topological edge states. This poses a question that whether quantized fields would change differently the feature of topological ...
Xue Han +4 more
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