KITAOKA Yoshiyuki 北岡良之

Researcher Number	40022686
External Links
Affiliation (based on the past Project Information) *help	2001 – 2009: 名城大学, 理工学部, 教授 1999: Nagoya Univ., Grad. Sch. Math., Prof., 大学院・多元数理科学研究所, 教授 1996 – 1999: 名古屋大学, 多元数理研究科, 教授 1995 – 1999: 名古屋大学, 大学院・多元数理科学研究科, 教授 1997: Nagoya University, Graduate School of Mathematics, Professor, 大学院多元数理科学研究科, 教授 1995: 名古屋大学, 大学院多元数理科学研究所, 教授 1986 – 1994: 名古屋大学, 理学部, 教授
Review Section/Research Field	Principal Investigator 代数学・幾何学 / Algebra / Algebra Except Principal Investigator Algebra / 代数学・幾何学 / Basic analysis / 広領域 / 解析学 / Algebra
Keywords	Principal Investigator 整数論 / 代数体 / 分布 / 単数 / distribution / unit / analytic number theory / class field / 密度 / 単数の分布 … More / 解析数論 / 類体論 / Automorphic forms / Combinatorics / Algebraic geometry / Analytic number theory / semi-groups / Representation theory / Finite groups / Rings / 代数的組み合せ論 / 組み合せ数学 / 解折数論 / 半群論 / 表現論 / 多元環 / 有限群 / 環論 / 群論 / 母関数 / 代数的整数論 / 保型形式 / ゼ-タ関数 / 組み合せ論 / 代数幾何 / 多元環の表現論 / 曲面の特異点 / フリップ / 3次元代数多様体 / 対称行列 / ジーゲル保型形式 / 2次形式 / 代数群 / 整表現 / 二次形式 … More Except Principal Investigator 保型形式 / ゼータ関数 / 楕円曲線 / ホッジ理論 / 特異点 / Analytic continuation / Ramanujan formula / Modular relation / 近似関数等式 / 解析接続 / 多重ゼータ関数 / Ramanujan公式 / 組紐群 / Rankin-Selberg series / Universality / 平均値定理 / universality / Rankin-Selberg L関数 / 漸近展開 / 二乗平均 / 約数問題 / Voronoi公式 / Riemannゼータ関数 / HYPERGEOMETRIC POLYNOMIALS / 算術的三角群 / 超幾何多項式 / ダイヘドラル拡大 / 3次体 / 2次体 / ヘッケ環 / 可換理論 / Bergman計量 / 擬凸領域 / Bergman核 / 表現論 / 半群論 / 代数幾何学 / 代数学 / Singularity / 半群 / 代数群 / 可換環 / ベクトル束 / 類数 / 原始根に関するArtinの予想 / 原始根に関するArtin予想 / 剰余指数 / 剰余位数 / L関数 / 実2次体 / ガウス和 / 数論的関数 / multiplicity of phenomena for potential / models with necessary condition / inverse problem of differential equation / topological classification of phenomena / (invariant) superpotential / 非線型作用素 / 結晶 / 群作用不変性 / 変分法 / 1@fノイズと非線形性 / 発生における周期性 / 負の二項分布 / 変分法的な手法 / 液滴の振動現象 / 雪結晶の理論 / (ポテンシャンに対する)現象の多重性 / 必要条件とみたすモデル / 微分方程式の逆問題 / 現象の位相分類 / (群作用不変な)ス-パ-ポテンシャル / Dynkin mathematics / Semigroup / Commutative algebra / Arithmetic algebraic geometry / Hodge theory / 超平面配置 / パンルベ方程式 / 数論的代数幾何 / 2次元可解模型 / アインシュタイン・ケーラー多様体 / 多様体の大域的研究 / 双有理幾何学 / 複素微分幾何 / ディンキン数学 / 数理的代数幾何 / estimate of character sums / Artin's Conjecture on primitive roots / resudual index / residual order / 指標和の評価 / 余剰指数 / 余剰位数 / Automorphic L-function / Ramanujan's formula / Hurwitx zeta-function / Euler-Zagier sum / Multiple zeta-function / 実二次体 / 普遍性 / 多重ガンマ関数 / Mellin-Barnes formula / 保型L関数 / 普遍性定理 / モジュラー関係式 / Hurwitzゼータ関数 / Euler-Zagier和 / Multiple zeta function / Elliptic curve / Arithmetical function / Mean value formula / Dirichlet series / Rankin-Selberg 級数 / Bernoulli数 / modular relation / Dirichlet級数 / GREENBERG CONJECTURE / ARITHMETIC TRIANGULAR GROUPS / SPACE OF MODULI / NOETHER PROBLEM / GENERIC FAMILY OF POLYNOMIALS / DIHEDRAL EXTENSIONS / INVERSE PROBLEM OF GALOIS / グロタンディーク・タイヒミュラー群 / 近藤予想 / 類数問題 / Scholz予想 / モンスター単純群 / 素数グラフ / Dutta重複度 / l進多重対数函数 / 二面体群 / ハセの問題 / generic polynomial / 三面体拡大 / Greenberg予想 / モジュライ空間 / ネター問題 / 生成的多項式族 / 二面体拡大 / ガロアの逆問題 / Division theorem / Extension theorem / Complexification of gid / Bergman metric / Pseudoconvex domain / LィイD12ィエD1 holomorphic function / Bergman Kernel / L^2拡張定理 / Bergman空間 / 超擬凸 / 皆既関数 / ^∂_-方程式 / Bergman計算 / 割算問題 / 拡張定理 / 測地線の複素化 / L^2正則関数 / Riemann hypothesis / elliptic curve / mean value formula / Voronoi formula / divisor problem / Voronoi 級数 / Riemann予想 / 2乗平均 / Rankin-Selberg L-function / Asymptotic expansion / Mean square / Divisor problem / Voronoi's formula / Dirichlet L-function / Riemann zeta-function / 二重ガンマ関数 / Pisot数 / Lerchゼータ関数 / Voronoiの公式 / Dirichlet L関数 / Hecke algebra / Automorphic representation / Galois representation / 保型表現 / ガロア表現 / Baecklund transformations / Special polynomials / Painleve equations / モノドロミ-保変形 / 特殊関数 / Painleve方程式 / BaeckLund変換 / Painlev'e equations / Baecklund変換 / 特殊多項式 / Painleve'方程式 / TATE CONJECTURE / UNITS / DIHEADRAL EXTHENSIONS / CUBIC FIELDS / QUADRATIC FIELDS / CLASS NUMBERS / CLASS FIELD THEORY / 奇数次巡回拡大 / 一次分数変換 / Batyrev-Manin予想 / 算術的有限部分群 / 一般Lucas数列 / Tate予想 / 単数 / 類体論 / global analysis on graphs / category / lattice model / logarithmic geometry / toric geometry / analytic geometry / arithmetic geometry / algebraic geometry / 絡み目 / 結び目 / 特異点理論 / 大域解析 / グラフ / 対数的幾何学 / グラフ上の大域解析 / 圏 / 格子模型 / 対数的幾何 / トーリック幾何 / 解析幾何 / 数論的幾何 / 代数幾何 / Aralytic Number Theory / Representation Theory / Modular forms / Commutative ring theory / Algebraic Combinatorics / Algebraic Number Theory / Algebra / 可挽環論 / 可換環論 / 代数的組み合せ論 / 解析的整数論 / 代数的組み合わせ論 / 代数的整数論 / Mathematics and computor aided education / Mathematics doing fieldwork / Problem in biology and mathematics / Mathematical problem from dentist / Problem in physiology and mathematics / Interaction with human science / Problem Oriented Mathematics / ラムダ型構造 / 形態変分法 / 数理的構造 / アクチンフィラメント / シルククラウン現象 / ヒステリシス / サンドパイル現象 / なだれ現象 / 摩耗現象解析 / 生命表解析 / 発生現象 / 科目等履修生 / 科学史、文明史と数学 / 生命現象の数理的手法 / 振動現象の数理モデル / 経済学における数理的手法 / 多元数理科学の確立 / コンピュウタ-教育と数学 / フィールドワークを行う数学 / 生物学からの課題とその解決 / 歯学からの課題とその解決 / 生理学からの課題とその解決 / 人文社会科学との交流 / 現実課題の解決 / analytic torsion / Teichmiiller space / logarithmic Capacity / Bergman kernel / L^2 cohomology / ∂^^--方程式 / L^2estimate / ベルグマン計量 / ボイリング密度 / 開リーマン面 / 補間問題 / 〓方程式 / ベルグマン核 / Analytic torsion / Teichmiiller空間 / 対数容量 / Bergman 核 / L^2コホモロジー / SEMI-GROUP THEORY / ARITHMETIC GEOMETRY / ALGEBRAIC GEOMETRY / RING THEORY / GROUP THEORY / NUMBER THEORY / MATHEMATICAL SCIENCE / ALGEBRA / 組合せ論 / 数論的幾何学 / 環論 / 群論 / 整数論 / 数理科学 / Commutative Algebra / Period Mapping / Hodge Theory / Calabi-Yau Manifold / Vector Bundle / Algebraic Variety / 共形場理論 / Hodge(ホッヂ)理論 / 算術的代数多様体 / 3次元代数多様体 / 代数曲面 / ア-ベル多様体 / CalabiーYou多様体 / 周期写像 / CalabiーYan多様体 / 代数多様体 / アルティンの予想 / ガウスの予想 / 基本単数 / Pー不変量 / 代数的数体 / Sum of digits関数 / Gray Code / 剩余位数 / Code理論 / 原始根 / Rademacher定数 / Kummer曲面 / Niemeier格子 / Del Pezzo曲面 / エンリケス曲面 / Monster / Conway群 / Mathieu群 / Leech格子 / 自己同型群 / 超特異K3曲面 / K3曲面 / 二次形式 / アトキンソン公式 / 二乗平均値 / 不定方程式 / 構造不変量 / 代数的教体 / リニック予想 / 跡公式 / クロステルマンゼータ関数 / クロステルマン和 / スペクトル理論 / ア-ス尖点形式 / アイゼンシュタイン級数 / 加法的約数問題 / 三角和 / 一様分布 / ベキ剰余 / 玄武岩柱状節理 / ATP構造とエネルギ- / 形態と数理 / モジュラス空間 / 2次元場の量子論 / 双有理写像 / 典型モデル / 極小モデル / 無限次行列 / ゼ-タ関数 Less

On the distribution of the residual order/index of the residual class a(mod n) in the residual group with composite moduli.
- Principal Investigator
  
  MURATA Leo
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji Gakuin University
Distribution of units of an algebraic number field modulo rational primesPrincipal Investigator
- Principal Investigator
  
  KITAOKA Yoshiyuki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meijo University
Analytic study on distribution properties of the residual order and residual index, and on the relation between the distribution and estimates on character sums
- Principal Investigator
  
  MURATA Leo
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meiji Gakuin University
Distribution of units of an algebraic number field from the viewpoint of class field theory and analytic number theoryPrincipal Investigator
- Principal Investigator
  
  KITAOKA Yoshiyuki
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Meijo University
Studies on the analytic behaviour of number theoretic L-functions
- Principal Investigator
  
  MATSUMOTO Kohji
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
代数幾何学的手法によるモンスターの研究
- Principal Investigator
  
  金銅誠之
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
THE INVERSE PROBLEM OF GALOIS AND ITS APPLICATION TO NUMBER THEORY
- Principal Investigator
  
  MIYAKE Katsuya
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Sum formulas for arithmetical functions and mean value theorem for the zeta functions
- Principal Investigator
  
  TANIGAWA Yoshio
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Complex analysis of Bergman spaces and α-cohomology
- Principal Investigator
  
  OHSAWA Takeo
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Nagoya University
Behavior of Zeta and L-functions and their arithmetic meaning
- Principal Investigator
  
  MATSUMOTO Kohji
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Estimate of the sum of arithmetical functions and its applications to L functions
- Principal Investigator
  
  TANIGAWA Yoshio
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
解析的整数論の研究
- Principal Investigator
  
  松本耕二
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
COMPOSITE STUDY IN CLASS FIELD THEORY AND RELATED TOPICS
- Principal Investigator
  
  MIYAKE Katsuya
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METROPOLITAN UNIVERSITY
Studies on the Painleve equations
- Principal Investigator
  
  UMEMURA Hiroshi
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Automorphic and Galois representations
- Principal Investigator
  
  FUJIWARA Kazuhiro
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
2次形式の表現についてPrincipal Investigator
- Principal Investigator
  
  北岡良之
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
The research of algebra as fundamental tools of Mathematical Science
- Principal Investigator
  
  KOIKE Masao
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  KYUSHU UNIVERSITY
Mathematics on manifolds
- Principal Investigator
  
  ODA Tadao
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
保型関数のスペクトル理論とその整数論への応用
- Principal Investigator
  
  谷川好男
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
代数的数体における構造不変量の研究
- Principal Investigator
  
  横井英夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
ガウス和とある型の積の関係,およびこの関係から従うガウス和の諸性質の研究
- Principal Investigator
  
  ITO Hiroshi
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Establishment of "Polymathematics" and developement of its educational program.
- Principal Investigator
  
  SHIKATA Yoshihiro
- Project Period (FY)
  1993 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  広領域
- Research Institution
  Nagoya University
数論的関数と無限次行列
- Principal Investigator
  
  久保田富雄
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
Co-Operative Research Algebra that is a Foundation of Mathematical Science
- Principal Investigator
  
  MORITA Yasuo
- Project Period (FY)
  1992 – 1994
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
複素多様体上の作用素に付随した不変量の解析
- Principal Investigator
  
  OHSAWA Takeo
- Project Period (FY)
  1992 – 1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
生物形態における数理理論の構成の試み(酵母を中心として)
- Principal Investigator
  
  SHIKATA Yoshihiro
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
数論的関数の解析表示
- Principal Investigator
  
  久保田富雄
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
三次元多様体について
- Principal Investigator
  
  NAMIKAWA Yukihiko
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
Synthetic research on algebraPrincipal Investigator
- Principal Investigator
  
  KITAOKA Yoshiyuki
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
Algebraic Theory of Manifolds
- Principal Investigator
  
  MIYANISHI Masayoshi
- Project Period (FY)
  1989 – 1991
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  Osaka University
On Applications of Global Variation Theory
- Principal Investigator
  
  SHIKATA Yoshihiro
- Project Period (FY)
  1989 – 1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
代数的数体の構造不変量の総合的研究
- Principal Investigator
  
  横井英夫
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
三次元多様体についてPrincipal Investigator
- Principal Investigator
  
  北岡良之
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
2次形式と多変数保型形式についてPrincipal Investigator
- Principal Investigator
  
  北岡良之
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Nagoya University
Mathematics on Manifolds.
- Principal Investigator
  
  ODA Tadao Professor
- Project Period (FY)
  1986 – 1988
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  代数学・幾何学
- Research Institution
  TOHOKU UNIVERSITY

All 2010 2009 2008 2007 2006 2004 2003 2001 Other

All Journal Article Presentation Book

[Book] Number Theory(pp.106-126), Series on Number Theory and Its Application Vol 62010
- Author(s)
  Y.Kitaoka
- Total Pages
  252
- Publisher
  A statistical relation of roots of a polynomial in different local fields II
- Data Source
  KAKENHI-PROJECT-18540056
[Book] Number Theory(pp39-96)2007
- Author(s)
  Y. Kitaoka
- Total Pages
  245
- Publisher
  World Scientific
- Data Source
  KAKENHI-PROJECT-18540056
[Book] Number Theory2007
- Author(s)
  Y. Kitaoka
- Publisher
  World Scientific
- Data Source
  KAKENHI-PROJECT-18540056
[Book] Distribution of units of an algebraic number field, Galois Theory and Modular Forms, Developments in Mathematics2003
- Author(s)
  Y.Kitaoka
- Publisher
  Kluwer Academic Publishers
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640049
[Journal Article] A statistical relation of roots of a polynomial in different local files II, Number Theory : Dreaming in Dreams2010
- Author(s)
  Y. Kitaoka
- Journal Title
  
  World Scientific Vol.6
  
  Pages: 106-126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540056
[Journal Article] Distribution of units of an algebraic number field modulo an ideal, Number Theory, Sailing on the sea of number theory2009
- Author(s)
  Y. Kitaoka
- Journal Title
  
  World Scientific
  
  Pages: 39-96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540056
[Journal Article] A statistical relation of roots of a polynomial in different local fields2009
- Author(s)
  Y. Kitaoka
- Journal Title
  
  Mathematics of Computation
  
  Pages: 523-536
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540054
[Journal Article] A statistical relation of roots of a polynomial in different local fields2009
- Author(s)
  Y. Kitaoka
- Journal Title
  
  Mathematics of Computation 78
  
  Pages: 523-536
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540056
[Journal Article] A statistical relation of roots of a polynomial in different local fields2009
- Author(s)
  Y. Kitaoka
- Journal Title
  
  Math. of Comp. 78
  
  Pages: 523-536
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540056
[Journal Article] A statistical relation of roots of a polynomial in different local fields2009
- Author(s)
  Y. Kitaoka
- Journal Title
  
  Mathematics of Computation 78
  
  Pages: 523-536
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540054
[Journal Article] Densities of sets of primes related to decimal expansion of rational numbers2006
- Author(s)
  T. Hadano, Y. Kitaoka, T. Kubota, M. Nozaki
- Journal Title
  
  "Number Theory: Tradition and Modernization", Edited by Y. Tanigawa and W. Zhang, Springer Science
  
  Pages: 67-80
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540054
[Journal Article] DENSITIES OF SETS OF PRIMES RELATED TO DECIMAL EXPANSION OF RATIONAL NUMBERS2006
- Author(s)
  Toshihiro Hadano, Yoshiyuki Kitaoka, tomio Kubota, Michihiro Nozaki
- Journal Title
  
  Number Theory : Tradition and Modernization (Edited by Y. Tanigawa, W. Zhang) (Springer Science)
  
  Pages: 67-80
- Data Source
  KAKENHI-PROJECT-18540054
[Journal Article] Distribution of units of a cubic abelian field modulo prime numbers2006
- Author(s)
  Y. Kitaoka
- Journal Title
  
  J. Math. Soc. Japan vol58
  
  Pages: 563-584
- NAID
  10018381452
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540056
[Journal Article] Ray class field of prime conductor of a real quadratic field2004
- Author(s)
  Y.Kitaoka
- Journal Title
  
  Proc.Japan Acad. 80A
  
  Pages: 83-85
- NAID
  40006480349
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13640049
[Journal Article] Distribution of units of algebraic number fields with only one fundamental unit2004
- Author(s)
  Y.Kitaoka
- Journal Title
  
  Proc.Japan Acad. 80A
  
  Pages: 86-89
- NAID
  40006480350
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13640049
[Journal Article] Distribution of units of an algebraic number field2003
- Author(s)
  Y.Kitaoka
- Journal Title
  
  Galois Theory and Modular Forms, Developments in Mathematics(Kluwer Academic Publishers)
  
  Pages: 287-303
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13640049
[Journal Article] On primitive roots of tori : The case of function fields2003
- Author(s)
  Y-M.J.Chen, Y.Kitaoka, J.Yu
- Journal Title
  
  Math.Z. 243
  
  Pages: 201-215
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13640049
[Journal Article] Distribution of units of a cubic field with Negative discriminant2001
- Author(s)
  Y.Kitaoka
- Journal Title
  
  J. of Number Theory 91
  
  Pages: 318-355
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13640049
[Journal Article] Distribution of units of a cubic field with negative discriminant2001
- Author(s)
  Y.Kitaoka
- Journal Title
  
  J.of Number Theory 91
  
  Pages: 318-355
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13640049
[Journal Article] A statistical relation of roots of a polynomial in different local fields
- Author(s)
  Ybshiyuki Kitaoka
- Journal Title
  
  Mathematics of Computation 掲載確定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540054
[Presentation] 多項式の異なる局所体での根の分布について2008
- Author(s)
  北岡良之
- Organizer
  数理解析研解析的整数論の新しい展開
- Place of Presentation
  数理解析研究所
- Year and Date
  2008-10-28
- Data Source
  KAKENHI-PROJECT-18540056
[Presentation] A statistical relation of roots of a polynomial in different local fields2008
- Author(s)
  北岡良之
- Organizer
  The 5^<th> Japan-China Seminar on Number Theory
- Place of Presentation
  近畿大学・理工学部
- Year and Date
  2008-08-30
- Data Source
  KAKENHI-PROJECT-18540054
[Presentation] 多項式の異なる局所体での根達の統計的関係について2008
- Author(s)
  北岡良之
- Organizer
  博多数論小研究集会
- Place of Presentation
  九州大学
- Year and Date
  2008-02-23
- Data Source
  KAKENHI-PROJECT-18540056
[Presentation] 単数の分布について2007
- Author(s)
  北岡良之
- Organizer
  北陸数論研究集会
- Place of Presentation
  石川シティカレッジ
- Year and Date
  2007-12-26
- Data Source
  KAKENHI-PROJECT-18540056

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KITAOKA Yoshiyuki 北岡 良之

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Distribution of units of an algebraic number field modulo rational primesPrincipal Investigator

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Distribution of units of an algebraic number field from the viewpoint of class field theory and analytic number theoryPrincipal Investigator

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KITAOKA Yoshiyuki 北岡良之