Results 21 to 30 of about 2,325,357 (271)
On the structure of the idele group of an algebraic number field [PDF]
Nagoya mathematical journal, 1980 The purpose of this paper is to present the results of E. Artin and Furtwängler, with which they proved the principal ideal theorem, as a structure theorem of the idele group of an algebraic number field.
Katsuya Miyake
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The distribution of the irreducibles in an algebraic number field [PDF]
Journal of the Australian Mathematical Society, 2005 AbstractWe study the distribution of principal ideals generated by irreducible elements in an algebraic number field.
David M. Bradley +3 more
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On a class of ideals in an algebraic number field
Journal of Number Theory, 1970 AbstractLet k be an algebraic number field and let θ be the ring of integers of k. We define for each positive n and each prime ideal p of θ a nonnegative integer rn(p) as follows: if n = Σi = 0tkiqi is the q-adic expansion of n where q = Np, set rn(p) = (n − Σi = 0tki)/(q − 1).
Hiroshi Gunji, Donald L. McQuillan
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a tripling on the algebraic number field [PDF]
Osaka Journal of Mathematics, 1986 AKAGAWA, YASUMASA
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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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Numbers with unique factorization in an algebraic number field [PDF]
, 1972 Władysław Narkiewicz
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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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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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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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