Results 1 to 10 of about 14,256 (194)
On the Units of Algebraic Number Fields
Journal of Number Theory, 1994 AbstractLet K be an algebraic number field and k be a proper subfield of K. Then we have the relations between the relative degree [K : k] and the increase of the rank of the unit groups. Especially, in the case of mth cyclotomic field Q(ζm), we determine the number m such that the increase of the rank of the unit groups is equal to the number of the ...
Itaru Yamaguchi, H. Takeuchi
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Fuchsian Groups and Algebraic Number Fields [PDF]
Transactions of the American Mathematical Society, 1985 Given the signature of a finitely-generated Fuchsian group, we find the minimal extension of the rationals for which there is a Fuchsian group having the required signature, whose matrix entries lie in this field.
P. L. Waterman, C. Maclachlan
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On the units of an algebraic number field [PDF]
Illinois Journal of Mathematics, 1965 James Ax
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Sequences of Residues in Algebraic Number Fields
Journal of Number Theory, 1995 AbstractWe define ΛF(n, m) for all integers n, m and an algebraic number field F to be the least positive number such that for almost all prime ideals p there are m consecutive nth power residues in the algebraic number field F with norm less than ΛF(n, m)[F : Q]. We prove several theorems based on these definitions.
A.M. Naranjani
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Topological Transcendental Fields
Axioms, 2022 This article initiates the study of topological transcendental fields F which are subfields of the topological field C of all complex numbers such that F only consists of rational numbers and a nonempty set of transcendental numbers. F, with the topology
Taboka Prince Chalebgwa +1 more
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Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Necessary and sufficient conditions for the existence of invariant algebraic curves
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
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Discontinuity and diversity of Persian scientific research journals in the field of educational sciences by using coloring and mathematical algebraic parameters [PDF]
ریاضی و جامعه, 2022 The aim of the current research is to study and compare graphs authorship by Iranian researchers in Persian scientific research journals in the field of educational sciences by using algebraic parameters of mathematics. In this research, the data related
Ali Abdi, Mostafa Amini
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On simple modules with singular highest weights for so2l+1(K) [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number. Assume that the highest weights of
Sh.Sh. Ibraev +2 more
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Isomorphisms of algebraic number fields [PDF]
Journal de Théorie des Nombres de Bordeaux, 2012 Let $\mathbb{Q}(α)$ and $\mathbb{Q}(β)$ be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, $\mathbb{Q}(β) \rightarrow \mathbb{Q}(α)$. The algorithm is particularly efficient if the number of isomorphisms is one.
Mark van Hoeij, Vivek Pal
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