Results 81 to 90 of about 10,835,395 (273)
Introduction to algebraic number theory
, 1955 6 CONTENTS Preface This book is based on notes I created for a one-semester undergraduate course on Algebraic Number Theory, which I taught at Harvard during Spring 2004 and Spring 2005.
H. B. Mann
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Efficient Enumeration of Higher Order Algebraic Structures
IEEE Access, 2020 Algebraic structures are widely studied mathematical structures in abstract algebra. Enumerating higher order algebraic structures is a computationally intensive task due to large number of possible permutations and the presence of many symmetrically ...
Majid Ali Khan
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Algebraic relations among Goss’s zeta values on elliptic curves
Forum of Mathematics, Sigma, 2023 In 2007 Chang and Yu determined all the algebraic relations among Goss’s zeta values for $A=\mathbb F_q[\theta ]$ , also known as the Carlitz zeta values.
Nathan Green, Tuan Ngo Dac
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Knots with unknotting number 1 and essential Conway spheres
, 2006 For a knot K in S^3, let T(K) be the characteristic toric sub-orbifold of the orbifold (S^3,K) as defined by Bonahon and Siebenmann. If K has unknotting number one, we show that an unknotting arc for K can always be found which is disjoint from T(K ...
Bleiler +25 more
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Approximation of complex algebraic numbers by algebraic numbers of bounded degree [PDF]
Ann. Scuola Norm. Sup. Pisa, Cl. Scienze (5) 8 (2009), 1-36, 2007 We investigate how well complex algebraic numbers can be approximated by algebraic numbers of degree at most n. We also investigate how well complex algebraic numbers can be approximated by algebraic integers of degree at most n+1. It follows from our investigations that for every positive integer n there are complex algebraic numbers of degree larger ...
arxiv
On the expression of a number as the sum of two squares in totally real algebraic number fields
, 1965 Introduction. Let K he a totally real algebraic number field of degree w and with discriminant d. Let a be an ideal of K which may be integral or fractional.
Werner Schaal
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The Genus Field and Genus Number in Algebraic Number Fields
Nagoya mathematical journal, 1967 Let k be an algebraic number field and K be its normal extension of finite degree. Then the genus field K* of K over k is defined as the maximal unramified extension of K which is obtained from K by composing an abelian extension over k 2).
Yoshiomi Furuta
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A Construction of Rotated Lattices via Totally Real Subfields of the Cyclotomic Field Q(z_p)
Trends in Computational and Applied Mathematics, 2019 The theory of lattices have shown to be useful in information theory and rotated lattices with high modulations diversity have been extensively studied as an alternative approach for transmission over a Rayleigh-fading channel, where the performance of ...
Antonio A. Andrade +2 more
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Symposium on the Theory of Computing, 1984 Based on Kummer Theorem, we study the deterministic complexity of two factorization problems: polynomial factorization over finite fields and prime factorization in algebraic number fields.
Ming-Deh A. Huang
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Journal of Combustion, 2012 The performance of algebraic flame surface density (FSD) models has been assessed for flames with nonunity Lewis number (Le) in the thin reaction zones regime, using a direct numerical simulation (DNS) database of freely propagating turbulent premixed ...
Mohit Katragadda +2 more
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