Results 81 to 90 of about 561 (135)

On index divisors and monogenity of certain septic number fields defined by x 7 + ax 3 + b

Communications in Algebra, 2022
In this paper, for any septic number field K generated by a root α of a monic irreducible trinomial , we describe all prime power divisors of the index of K answering Problem 22 of Narkiewicz [ 26]. In particular, if , then K is not mongenic.
L. E. Fadil, O. Kchit
semanticscholar   +1 more source

Monogenic Lupus

Current Rheumatology Reports, 2016
Systemic lupus erythematosus (SLE) is a multisystem autoimmune disease known for its clinical heterogeneity. Over time, new insights into the complex genetic origin of SLE have started to explain some of this clinical variability. These findings, reviewed here, have also yielded important understanding in the immune mechanisms behind SLE pathogenesis ...
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On common index divisor and monogenity of certain number fields defined by trinomials X 6 + AX + B

Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2022
For a number field K defined by a trinomial F (x) = x 6 + ax + b ∈ ℤ[x], Jakhar and Kumar gave some necessary conditions on a and b, which guarantee the non-monogenity of K [25].
L. E. Fadil
semanticscholar   +1 more source

Monogenic mineralocorticoid hypertension

Best Practice & Research Clinical Endocrinology & Metabolism, 2006
Monogenic mutations leading to excessive activation of the mineralocorticoid pathway result, almost always, in suppressed renin and hypertension in adult life and sometimes in hypokalaemia and alkalosis, which can be severe. In most of these syndromes, precise molecular changes in specific steroidogenic or effector genes have been identified ...
Stowasser, Michael, Gordon, Richard D.
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On integral bases and monogenity of pure octic number fields with non-square free parameter

Boletim da Sociedade Paranaense de Matemática, 2022
In all available papers, on power integral bases of pure octic number fields $K$, generated by a root $\alpha$ of a monic irreducible polynomial $f(x)=x^8-m\in\Z[x]$, it was assumed that $m\neq \pm 1$ is square free.
L. E. Fadil, Istv'an Ga'al
semanticscholar   +1 more source

On monogenity of certain number fields defined by x2·3s·qr − m

Communications in Algebra
Let K=Q(α), where α is a root of the monic irreducible polynomial x2·3s·qr−m with m≠±1 is a square-free integer, r and s are two positive integers, and q is a prime of the form 3k+2.
Rupam Barman, Anuj Narode, Vinay Wagh
semanticscholar   +1 more source

Monogenic idiopathic epilepsies

The Lancet Neurology, 2004
Major advances have recently been made in our understanding of the genetic bases of monogenic inherited epilepsies. Direct molecular diagnosis is now possible in numerous inherited symptomatic epilepsies. Progress has also been spectacular with respect to several idiopathic epilepsies that are caused by mutations in genes encoding subunits of ion ...
Isabelle, Gourfinkel-An, Stéphanie, Baulac, Rima, Nabbout, Merle, Ruberg, Michel, Baulac, Alexis, Brice, Eric, LeGuern   +6 more
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Index characterization and monogenity of septic number fields defined by x7 + ax4 + b

Quaestiones Mathematicae. Journal of the South African Mathematical Society
In this paper, we calculate the index of any septic number field K generated by a root α of a monic irreducible trinomial F(x) = x7 + ax4 + b ∈ ℤ[x]. Our approach is based on Engstrom’s results and the factorization of any rational prime in K.
O. Kchit
semanticscholar   +1 more source

Monogenic diabetes

Diabetology International
Diseases in which genetic factors contribute to nearly 100% of the causation by single-gene mutations are referred to as monogenic disorders or Mendelian genetic diseases. These include neonatal diabetes mellitus (NDM), presenting within the first six months of life, maturity-onset diabetes of the young (MODY), developing later in childhood or ...
Yukio, Horikawa, Kazuyoshi, Hosomichi, Daisuke, Yabe   +2 more
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Monogenic Differential Operators

Results in Mathematics, 1992
It is well-known that a homogeneous polynomial of degree \(k\) admits a harmonic Fischer decomposition. But when dealing with Clifford algebra- valued functions, this decomposition can be refined, since every spherical harmonic can be written as the sum of a so-called inner and an outer spherical monogenic.
Sommen, F., Van Acker, N.
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