| フルテキストURL | mjou_066_171_187.pdf |
|---|---|
| 著者 | Tarmidi, Rani Sasmita| |
| 抄録 | In this work, we provide explicit conditions for the coeffi-cients of a symmetric truncated cubic to give a smooth tropical curve. We also examine non-smooth cases corresponding to some specific sub-division types. |
| キーワード | tropical curves smooth tropical curves symmetric truncated cubic |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 171 |
| 終了ページ | 187 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_159_169.pdf |
|---|---|
| 著者 | Shiraishi, Densuke| |
| 抄録 | In this paper, we derive formulas of complex and ℓ-adic multiple polylogarithms, which have two aspects: a duality in terms of indexes and a reflection in terms of variables. We provide an algebraic proof of these formulas by using algebraic relations between associators arising from the S3-symmetry of the projective line minus three points. |
| キーワード | multiple polylogarithm ℓ-adic Galois multiple polylogarithm duality-reflection formula |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 159 |
| 終了ページ | 169 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_135_157.pdf |
|---|---|
| 著者 | Davis, Daniel G.| |
| 抄録 | Let n ≥ 1, p a prime, and T(n) any representative of the Bousfield class of the telescope v−1n F(n) of a finite type n complex. Also, let En be the Lubin-Tate spectrum, K(En) its algebraic K-theory spectrum, and Gn the extended Morava stabilizer group, a profinite group. Motivated by an Ausoni-Rognes conjecture, we show that there are two spectral sequences IEs,t2 ⇒ πt−s((LT(n+1)K(En))hGn) ⇐ IIEs,t2 with common abutment π∗(−) of the continuous homotopy fixed points of LT(n+1)K(En), where IEs,t2 is continuous cohomology with coefficients in a certain tower of discrete Gn-modules. If the tower satisfies the Mittag-Leffler condition, then there are isomorphisms with continuous cochain cohomology groups: IE∗,∗2 ≅ H∗cts(Gn, π∗(LT(n+1)K(En))) ≅ IIE∗,∗2. We isolate two hypotheses, the first of which is true when (n, p) = (1, 2), that imply (LT(n+1)K(En))hGn ≃ LT(n+1)K(LK(n)S0). Also, we show that there is a spectral sequence Hscts(Gn, πt(K(En) ⊗ T(n + 1))) ⇒ πt−s((K(En) ⊗ T(n + 1))hGn). |
| キーワード | Algebraic K-theory spectrum continuous homotopy fixed point spectrum Lubin-Tate spectrum Morava stabilizer group homotopy fixed point spectral sequence telescopic localization |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 135 |
| 終了ページ | 157 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_125_133.pdf |
|---|---|
| 著者 | Singh, Gagandeep| Singh, Gurcharanjit| |
| 抄録 | The aim of this paper is to introduce a new subclass of strongly close-to-convex functions by subordinating to Janowski function. Certain properties such as coefficient estimates, distortion theorem, argument theorem, inclusion relations and radius of convexity are established for this class. The results obtained here will generalize various earlier known results. |
| キーワード | Analytic functions Subordination Janowski-type function Close-to-convex functions Distortion theorem Argument theorem Coefficient bounds |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 125 |
| 終了ページ | 133 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_115_124.pdf |
|---|---|
| 著者 | Maruyama, Takashi| Seto, Tatsuki| |
| 抄録 | In this paper, we generalize the Cantor function to 2-dimensional cubes and construct a cyclic 2-cocycle on the Cantor dust. This cocycle is non-trivial on the pullback of the smooth functions on the 2-dimensional torus with the generalized Cantor function while it vanishes on the Lipschitz functions on the Cantor dust. The cocycle is calculated through the integration of 2-forms on the torus by using a combinatorial Fredholm module. |
| キーワード | Fredholm module Cantor dust cyclic cocycle |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 115 |
| 終了ページ | 124 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_103_113.pdf |
|---|---|
| 著者 | Puthenpurakal, Tony J.| |
| 抄録 | Let (A,m) be an excellent Henselian Cohen-Macaulay local ring of finite representation type. If the AR-quiver of A is known then by a result of Auslander and Reiten one can explicity compute G(A) the Grothendieck group of finitely generated A-modules. If the AR-quiver is not known then in this paper we give estimates of G(A)Q = G(A) ⊗Z Q when k = A/m is perfect. As an application we prove that if A is an excellent equi-characteristic Henselian Gornstein local ring of positive even dimension with char A/m ≠ 2, 3, 5 (and A/m perfect) then G(A)Q ≅ Q. |
| キーワード | Grothendieck group finite representation type AR sequence |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 103 |
| 終了ページ | 113 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_085_102.pdf |
|---|---|
| 著者 | Akorede, Moses B.| Arawomo, Peter O.| |
| 抄録 | In this paper, we discuss the existence and uniqueness of positive solutions to a singular boundary value problem of fractional differential equations with three-point integral boundary conditions. The nonlinear term f possesses singularity and also depends on the first-order derivative u′. Our approach is based on Leray-Schauder fixed point theorem and Banach contraction principle. Examples are presented to confirm the application of the main results. |
| キーワード | Fractional derivative positive solutions singularity three-point boundary value problem cone |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 85 |
| 終了ページ | 102 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_071_083.pdf |
|---|---|
| 著者 | Jinzenji, Masao| Tajima, Yu| |
| 抄録 | In this paper, we first propose a cohomological derivation of the celebrated Euler’s Pentagonal Number Theorem. Then we prove an identity that corresponds to a bosonic extension of the theorem. The proof corresponds to a cohomological re-derivation of Euler’s another celebrated identity. |
| キーワード | partitions of integers cohomology Euler number Euler’s pentagonal number theorem |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 71 |
| 終了ページ | 83 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_063_069.pdf |
|---|---|
| 著者 | Kishi, Yasuhiro| Yamada, Mei| |
| 抄録 | In this article, we give two families of dihedral quintic polynomials by using the Weber sextic resolvent and a certain elliptic curve. |
| キーワード | Quintic polynomials Galois group |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 63 |
| 終了ページ | 69 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_045_061.pdf |
|---|---|
| 著者 | Nakamura, Tomoya| |
| 抄録 | We define Dirac pairs on Jacobi algebroids, which is a generalization of Dirac pairs on Lie algebroids introduced by Kosmann-Schwarzbach. We show the relationship between Dirac pairs on Lie and on Jacobi algebroids, and that Dirac pairs on Jacobi algebroids characterize several compatible structures on Jacobi algebroids. |
| キーワード | Dirac pair Dirac structure Jacobi algebroid Lie algebroid |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 45 |
| 終了ページ | 61 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_031_044.pdf |
|---|---|
| 著者 | Motegi, Yuki| |
| 抄録 | Multiple Hook Removing Game (MHRG for short) introduced in [1] is an impartial game played in terms of Young diagrams. In this paper, we give a characterization of the set of all game positions in MHRG. As an application, we prove that for t ∈ Z≥0 and m, n ∈ N such that t ≤ m ≤ n, and a Young diagram Y contained in the rectangular Young diagram Yt,n of size t × n, Y is a game position in MHRG with Ym,n the starting position if and only if Y is a game position in MHRG with Yt,n−m+t the starting position, and also that the Grundy value of Y in the former MHRG is equal to that in the latter MHRG. |
| キーワード | Young diagram hook combinatorial game Grundy value |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 31 |
| 終了ページ | 44 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| フルテキストURL | mjou_066_001_030.pdf |
|---|---|
| 著者 | Horie, Madoka| |
| 抄録 | Let N be a positive integer. For any positive integer L ≤ N and any positive divisor r of N, we enumerate the equivalence classes of dessins d’enfants with N edges, L faces and two vertices whose representatives have automorphism groups of order r. Further, for any non-negative integer h, we enumerate the equivalence classes of dessins with N edges, h faces of degree 2 with h ≤ N, and two vertices whose representatives have automorphism group of order r. Our arguments are essentially based upon a natural one-to-one correspondence between the equivalence classes of all dessins with N edges and the equivalence classes of all pairs of permutations whose entries generate a transitive subgroup of the symmetric group of degree N. |
| キーワード | dessin d’enfants symmetric group combinatorics Riemann surface |
| 発行日 | 2024-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 66巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 1 |
| 終了ページ | 30 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| 著作権者 | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| 著者 | Kakehi, Tomoyuki| Oshita, Yoshihito| |
|---|---|
| 発行日 | 2017-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 59巻 |
| 号 | 1号 |
| 資料タイプ | 学術雑誌論文 |
| JaLCDOI | 10.18926/mjou/54723 |
| 著者 | Dimassi, Mouez| Anh Tuan Duong| |
|---|---|
| 発行日 | 2017-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 59巻 |
| 号 | 1号 |
| 資料タイプ | 学術雑誌論文 |
| JaLCDOI | 10.18926/mjou/54721 |
| 著者 | Le Van An| Nguyen Thi Hai Anh| Ngo Sy Tung| |
|---|---|
| 発行日 | 2017-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 59巻 |
| 号 | 1号 |
| 資料タイプ | 学術雑誌論文 |
| JaLCDOI | 10.18926/mjou/54720 |
| JaLCDOI | 10.18926/mjou/54719 |
|---|---|
| フルテキストURL | mjou_059_131_140.pdf |
| 著者 | Hashimoto, Mitsuyasu| |
| キーワード | canonical module symmetric algebra Frobenius algebra quasi-Frobenius algebra n-canonical module |
| 発行日 | 2017-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 59巻 |
| 号 | 1号 |
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University |
| 開始ページ | 131 |
| 終了ページ | 140 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| 資料タイプ | 学術雑誌論文 |
| 言語 | 英語 |
| OAI-PMH Set | 岡山大学 |
| 著作権者 | Copyright©2017 by the Editorial Board of Mathematical Journal of Okayama University |
| 論文のバージョン | publisher |
| 関連URL | https://arxiv.org/abs/1609.07613 |
| 著者 | Connor, Peter| |
|---|---|
| 発行日 | 2017-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 59巻 |
| 号 | 1号 |
| 資料タイプ | 学術雑誌論文 |
| JaLCDOI | 10.18926/mjou/54718 |
| 著者 | Kim, Kwang-Seob| Kishi, Yasuhiro| |
|---|---|
| 発行日 | 2017-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 59巻 |
| 号 | 1号 |
| 資料タイプ | 学術雑誌論文 |
| JaLCDOI | 10.18926/mjou/54717 |
| 著者 | Ogata, Yuta| Teramoto, Keisuke| |
|---|---|
| 発行日 | 2017-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 59巻 |
| 号 | 1号 |
| 資料タイプ | 学術雑誌論文 |
| JaLCDOI | 10.18926/mjou/54716 |
| 著者 | Defant, Colin| |
|---|---|
| 発行日 | 2017-01 |
| 出版物タイトル | Mathematical Journal of Okayama University |
| 巻 | 59巻 |
| 号 | 1号 |
| 資料タイプ | 学術雑誌論文 |
| JaLCDOI | 10.18926/mjou/54715 |