2 0 0 0 OA ON THE HOLONOMIC DEFORMATION OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS ON AN ELLIPTIC CURVE
- 著者
- Kazuo OKAMOTO
- 出版者
- 九州大学大学院数理学研究院
- 雑誌
- Kyushu Journal of Mathematics (ISSN:13406116)
- 巻号頁・発行日
- vol.49, no.2, pp.281-308, 1995 (Released:2007-01-16)
- 参考文献数
- 15
- 被引用文献数
- 2 2
2 0 0 0 OA アミューズメントに於けるディジタル処理の進化
- 著者
- 三部 幸治
- 出版者
- 九州大学大学院数理学研究院
- 雑誌
- MI lecture note series (ISSN:18814202)
- 巻号頁・発行日
- vol.12, pp.28-34, 2008-09-16 (Released:2012-12-10)
- 著者
- Tokui SATO
- 出版者
- 九州大学大学院数理学研究院
- 雑誌
- Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics (ISSN:03736385)
- 巻号頁・発行日
- vol.3, no.1, pp.45-55, 1943-04-10 (Released:2009-11-13)
- 著者
- Shai HARAN Nobushige KUROKAWA Masato WAKAYAMA
- 出版者
- 九州大学大学院数理学研究院
- 雑誌
- Kyushu Journal of Mathematics (ISSN:13406116)
- 巻号頁・発行日
- vol.61, no.2, pp.551-563, 2007 (Released:2008-01-22)
- 参考文献数
- 6
- 被引用文献数
- 1 2
This note studies a q-analogue of Mellin's transform of a modular form via Jackson's integral.
- 著者
- Shinichi MOCHIZUKI
- 出版者
- 九州大学大学院数理学研究院
- 雑誌
- Kyushu Journal of Mathematics (ISSN:13406116)
- 巻号頁・発行日
- vol.62, no.2, pp.401-460, 2008 (Released:2008-09-09)
- 参考文献数
- 8
- 被引用文献数
- 1 1
We develop the theory of Frobenioids associated to non-archimedean (mixed-characteristic) and archimedean local fields. Inparticular, we show that the resulting Frobenioids satisfy the properties necessary to apply the main results of the general theory of Frobenioids. Moreover, we show that the reciprocity map in the non-archim edean case, as well as a certain archimedean analogue of this reciprocity map, admit natural Frobenioid-theoretic translations, which are, moreover, purely category-theoretic, to a substantial extent(i.e., except for the extent to which this category-theoreticity is obstructed by certain ‘Frobenius endomorphisms’ of the relevant Frobenioids). Finally, we show that certain Frobenioids which naturally encode the global arithmetic of a number field may be ‘grafted’ (i.e., glued) onto the Frobenioids associated to non-archimedean and archimedean primes of the number field to obtain ‘ poly-Frobenioids’. These poly-Frobenioids encode, in a purely category-theoretic fashion, most of the important aspects of the classical framework of the arithmetic geometry of number fields.