Results 1 to 10 of about 2,296,295 (371)
On the units of an algebraic number field [PDF]
Illinois Journal of Mathematics, 1965 James Ax
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Lower bounds on the class number of algebraic function fields defined over any finite field [PDF]
arXiv, 2011 We give lower bounds on the number of effective divisors of degree $\leq g-1$ with respect to the number of places of certain degrees of an algebraic function field of genus $g$ defined over a finite field. We deduce lower bounds and asymptotics for the class number, depending mainly on the number of places of a certain degree.
Ballet, Stéphane, Rolland, Robert
arxiv +5 more sources
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.
C. Maclachlan, P. L. Waterman
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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 ...
H. Takeuchi, I. Yamaguchi
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a tripling on the algebraic number field [PDF]
Osaka Journal of Mathematics, 1986 AKAGAWA, YASUMASA
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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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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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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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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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