| 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_135_157.pdf |
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| 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_159_169.pdf |
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| 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_171_187.pdf |
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| 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 |