| Author | Koike, Kazutoshi| |
|---|---|
| Published Date | 1995-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume37 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33793 |
| Author | Kurata, Yoshiki| Koike, Kazutoshi| |
|---|---|
| Published Date | 1995-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume37 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33787 |
| FullText URL | mjou_066_159_169.pdf |
|---|---|
| Author | Shiraishi, Densuke| |
| Abstract | 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. |
| Keywords | multiple polylogarithm ℓ-adic Galois multiple polylogarithm duality-reflection formula |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 159 |
| End Page | 169 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| FullText URL | mjou_065_023_034.pdf |
|---|---|
| Author | Kato, Ryo| |
| Abstract | Let E(2) be the second Johnson-Wilson spectrum at the prime 3. In this paper, we show that some beta elements exist in the homotopy groups of the E(2)-localized sphere spectrum with a grading over the Picard group of the stable homotopy category of E(2)-local spectra. |
| Keywords | Stable homotopy of spheres Picard group |
| Published Date | 2023-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume65 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 23 |
| End Page | 34 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Kobayashi, Masato| |
|---|---|
| Published Date | 2015-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume57 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/53047 |
| Author | Bárcenas, Noé| |
|---|---|
| Published Date | 2014-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume56 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/52071 |
| Author | Soudères, Ismaël| |
|---|---|
| Published Date | 2013-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume55 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/49095 |
| Author | Gordon, M.| Loura, L.| |
|---|---|
| Published Date | 2010-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume52 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33494 |
| Author | Lochak, Pierre| Nakamura, Hiroaki| Schneps, Leila| |
|---|---|
| Published Date | 2004-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume46 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33919 |
| Author | Kasch, Friedrich| |
|---|---|
| Published Date | 1957-03 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume6 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33734 |
| Author | Moriya, Mikao| |
|---|---|
| Published Date | 1952-10 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume2 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33174 |
| Author | Kano, Takeshi| |
|---|---|
| Published Date | 1976-12 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume19 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33421 |
| Author | Spearman, Blair K.| |
|---|---|
| Published Date | 2007-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume49 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33105 |
| Author | Masaike, Kanzo| |
|---|---|
| Published Date | 1979-06 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume21 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33831 |
| Author | Yaqub, Adil| |
|---|---|
| Published Date | 1981-12 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume23 |
| Issue | issue2 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33846 |
| Author | Abu-Khuzam, Hazar| Tominaga, Hisao| Yaqub, Adil| |
|---|---|
| Published Date | 1980-06 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume22 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33891 |
| FullText URL | mjou_066_001_030.pdf |
|---|---|
| Author | Horie, Madoka| |
| Abstract | 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. |
| Keywords | dessin d’enfants symmetric group combinatorics Riemann surface |
| Published Date | 2024-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume66 |
| Issue | issue1 |
| Publisher | Department of Mathematics, Faculty of Science, Okayama University |
| Start Page | 1 |
| End Page | 30 |
| ISSN | 0030-1566 |
| NCID | AA00723502 |
| Content Type | Journal Article |
| language | English |
| Copyright Holders | Copyright ©2024 by the Editorial Board of Mathematical Journal of Okayama University |
| Author | Kyuno, Shoji| |
|---|---|
| Published Date | 1986-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume28 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33955 |
| Author | Sato, Ryotaro| |
|---|---|
| Published Date | 1981-06 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume23 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33869 |
| Author | Fukuda, Takuo| |
|---|---|
| Published Date | 1967-01 |
| Publication Title | Mathematical Journal of Okayama University |
| Volume | volume13 |
| Issue | issue1 |
| Content Type | Journal Article |
| JaLCDOI | 10.18926/mjou/33467 |
