Results 251 to 260 of about 10,375,970 (302)

ASP-assisted symbolic regression for interpretable modelling of 3D laminar channel flow. [PDF]

open access: yesSci Rep
Aravanis T   +4 more
europepmc   +1 more source

ON NONMONOGENIC ALGEBRAIC NUMBER FIELDS

Rocky Mountain Journal of Mathematics, 2023
Let \(p\) be a prime number and \(f (x) = x^{p^ s}- ax^m- b\) belonging to \(\mathbb Z[x]\) be an irreducible polynomial. Let \( K = \mathbb Q(\theta )\) be an algebraic number field with \(\theta\) a root of \( f (x)\). Let \(r_1\) stand for the highest power of \(p\) dividing \(b^{p^s}- b -ab^m.\) This paper gives some explicit conditions involving ...
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Algebraic Number Fields

Series on Number Theory and Its Applications
exaly   +2 more sources

Realizing Algebraic Number Fields

1983
In the paper [13], the authors studied the problem of realizing rational division algebras in a special way. Let D be a division algebra that is finite dimensional over the rational field Q. If p is a prime, we say that D is p-realizable when there is a p-local torsion free abelian group A whose rank is the dimension of D over Q, such that D is ...
R. S. Pierce, C. I. Vinsonhaler
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On the Class Numbers of Algebraic Number Fields

Journal of Mathematical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Algebraic number fields

Journal of Soviet Mathematics, 1987
Translation from Itogi Nauki Tekh., Ser. Algebra Topol. Geom. 22, 117--204 (Russian) (1984; Zbl 0563.12002).
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Algebraic Number Fields

2016
Arithmetical algorithms considered in Chap. 5 are based on the arithmetical operations with matrices of the number systems. If the entries of these matrices are not integers or rationals, we need arithmetical algorithms which work with them. Such algorithms exist for algebraic numbers.
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