The Experts below are selected from a list of 92532 Experts worldwide ranked by ideXlab platform
Hwanyup Jung - One of the best experts on this subject based on the ideXlab platform.
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Class number parities of compositum of Quadratic Function fields
Mathematica Slovaca, 2017Co-Authors: Sunghan Bae, Hwanyup JungAbstract:AbstractThe parities of ideal class numbers of compositum of Quadratic Function fields are studied. Especially, the parities of ideal class numbers of
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DENSITIES FOR 4-RANKS OF REAL Quadratic Function FIELDS
Journal of the Chungcheong Mathematical Society, 2014Co-Authors: Hwanyup JungAbstract:In this paper we study of densities of the 4-rank of narrow ideal class groups of real Quadratic Function fields over the rational Function field Fq(T ) when q ≡ 3 mod 4.
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Density of class groups of imaginary l -cyclic Function fields
Finite Fields and Their Applications, 2011Co-Authors: Hwanyup JungAbstract:In this paper we generalize a recent result of Wittmann on densities of the 4-rank of class groups of imaginary Quadratic Function fields to the @?-rank of class groups of imaginary @?-cyclic extensions of F"q(T) where @? is any odd prime dividing q-1.
Xianke Zhang - One of the best experts on this subject based on the ideXlab platform.
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Lower bound for ideal class numbers of real Quadratic Function fields
Tsinghua Science & Technology, 2012Co-Authors: Xianke Zhang, Kunpeng WangAbstract:In this paper, the theory of continued fractions of algebraic Functions will be used to give a general theorem on lower bounds for class numbers of real Quadratic Function fields K=k(D). The bounds are given more explicitly for six types of real Quadratic Function fields. As a consequence, six classes of real Quadratic Function fields with ideal class number greater than one are given.[
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Bounds of the Ideal Class Numbers of Real Quadratic Function Fields
Acta Mathematica Sinica English Series, 2004Co-Authors: Kunpeng Wang, Xianke ZhangAbstract:The theory of continued fractions of Functions is used to give a lower bound for class numbers h(D) of general real Quadratic Function fields $$ K = k{\left( {{\sqrt D }} \right)} $$ over k = F q (T). For five series of real Quadratic Function fields K, the bounds of h(D) are given more explicitly, e. g., if D = F 2 + c, then h(D) ≥ degF/degP; if D = (SG)2 + cS, then h(D) ≥ degS/degP; if D = (A m + a)2 + A, then h(D) ≥ degA/degP, where P is an irreducible polynomial splitting in K, c ∈ F q . In addition, three types of Quadratic Function fields K are found to have ideal class numbers bigger than one.
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Subgroups of Class Groups of Algebraic Quadratic Function Fields
Chinese Annals of Mathematics, 2003Co-Authors: Kunpeng Wang, Xianke ZhangAbstract:Ideal class groups H(K) of algebraic Quadratic Function fields K are studied. Necessary and sufficient condition is given for the class group H(K) to contain a cyclic subgroup of any order n, which holds true for both real and imaginary fields K. Then several series of Function fields K, including real, inertia imaginary, and ramified imaginary Quadratic Function fields, are given, for which the class groups H(K) are proved to contain cyclic subgroups of order n.
Kunpeng Wang - One of the best experts on this subject based on the ideXlab platform.
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Lower bound for ideal class numbers of real Quadratic Function fields
Tsinghua Science & Technology, 2012Co-Authors: Xianke Zhang, Kunpeng WangAbstract:In this paper, the theory of continued fractions of algebraic Functions will be used to give a general theorem on lower bounds for class numbers of real Quadratic Function fields K=k(D). The bounds are given more explicitly for six types of real Quadratic Function fields. As a consequence, six classes of real Quadratic Function fields with ideal class number greater than one are given.[
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Bounds of the Ideal Class Numbers of Real Quadratic Function Fields
Acta Mathematica Sinica English Series, 2004Co-Authors: Kunpeng Wang, Xianke ZhangAbstract:The theory of continued fractions of Functions is used to give a lower bound for class numbers h(D) of general real Quadratic Function fields $$ K = k{\left( {{\sqrt D }} \right)} $$ over k = F q (T). For five series of real Quadratic Function fields K, the bounds of h(D) are given more explicitly, e. g., if D = F 2 + c, then h(D) ≥ degF/degP; if D = (SG)2 + cS, then h(D) ≥ degS/degP; if D = (A m + a)2 + A, then h(D) ≥ degA/degP, where P is an irreducible polynomial splitting in K, c ∈ F q . In addition, three types of Quadratic Function fields K are found to have ideal class numbers bigger than one.
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Subgroups of Class Groups of Algebraic Quadratic Function Fields
Chinese Annals of Mathematics, 2003Co-Authors: Kunpeng Wang, Xianke ZhangAbstract:Ideal class groups H(K) of algebraic Quadratic Function fields K are studied. Necessary and sufficient condition is given for the class group H(K) to contain a cyclic subgroup of any order n, which holds true for both real and imaginary fields K. Then several series of Function fields K, including real, inertia imaginary, and ramified imaginary Quadratic Function fields, are given, for which the class groups H(K) are proved to contain cyclic subgroups of order n.
Yoonjin Lee - One of the best experts on this subject based on the ideXlab platform.
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Indivisibility of class numbers of real Quadratic Function fields
Journal of Pure and Applied Algebra, 2016Co-Authors: Jungyun Lee, Yoonjin LeeAbstract:In this paper we work on indivisibility of the class numbers of real Quadratic Function fields. We find an explicit expression for a lower bound of the density of real Quadratic Function fields (with constant field F) whose class numbers are not divisible by a given prime l. We point out that the explicit lower bound of such a density we found only depends on the prime l, the degrees of the discriminants of real Quadratic Function fields, and the condition: either |F|≡1(modl) or not.
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The Scholz theorem in Function fields
Journal of Number Theory, 2007Co-Authors: Yoonjin LeeAbstract:Abstract The Scholz theorem in Function fields states that the l-rank difference between the class groups of an imaginary Quadratic Function field and its associated real Quadratic Function field is either 0 or 1 for some prime l. Furthermore, Leopoldt's Spiegelungssatz (= the Reflection theorem) in Function fields yields a comparison between the m-rank of some subgroup of the class group of an imaginary cyclic Function field L 1 and the m-rank of some subgroup of the class group of its associated real cyclic Function field L 2 for some prime number m; then their m-ranks also equal or differ by 1. In this paper we find an explicit necessary condition for their m-ranks (respectively l-ranks) to be the same in the case of cyclic Function fields (respectively Quadratic Function fields). In particular, in the case of Quadratic Function fields, if l does not divide the regulator of L 2 , then their l-ranks are the same, equivalently if their l-ranks differ by 1, then l divides the regulator of L 2 .
Jun Yu - One of the best experts on this subject based on the ideXlab platform.
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characteristics and interactions of solitary and lump waves of a 2 1 dimensional coupled nonlinear partial differential equation
Nonlinear Dynamics, 2019Co-Authors: Jun YuAbstract:A (2 + 1)-dimensional coupled nonlinear partial equation which possesses a Hirota bilinear form is introduced. Based on the Hirota bilinear form, two solitary waves are constructed. In the meanwhile, lump waves are derived by using a positive Quadratic Function. By combining an exponential Function with a Quadratic Function, interaction solutions between a lump and a one-kink soliton, and between a bi-lump and a one-soliton solution are generated. Some special concrete interaction solutions are depicted in both analytical and graphical ways.
