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徳島大学 ⟩ 大学院社会産業理工学研究部 ⟩ 理工学域 ⟩ 数理科学系 ⟩ 数理解析分野 ⟩ (researchmapへのインポート用ファイル) [PDF解説] [researchmapへの自動反映について]

研究活動

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研究テーマ

著書・論文

学術論文(審査論文):

1. Kazuaki Miyatani :
Generalized hypergeometric arithemtic D-modules under a p-adic non-Liouvilleness condition,
Proceedings of the American Mathematical Society, Vol.150, 3215-3229, 2022.
(DOI: 10.1090/proc/15814)
2. Kazuaki Miyatani :
p-adic generalized hypergeometric functions from the viewpoint of arithmetic D-modules,
The American Journal of Mathematics, Vol.142, No.4, 1017-1050, 2020.
(DOI: 10.1353/ajm.2020.0030)
3. Kazuaki Miyatani :
Logarithmic exact crystalline Poincare lemma of higher level modulo p,
Journal of Algebra, Vol.451, No.1, 85-114, 2016.
(DOI: 10.1016/j.jalgebra.2015.06.012)
4. Kazuaki Miyatani :
Monomial deformations of certain hypersurfaces and two hypergeometric functions,
International Journal of Number Theory, Vol.15, No.8, 2405-2430, 2015.
(DOI: 10.1142/S1793042115501122)
5. Kazuaki Miyatani :
Finiteness of crystalline cohomology of higher level,
Annales de l'Institut Fourier, Vol.65, No.3, 975-1004, 2015.
(DOI: 10.5802/aif.2949)
6. Kazuaki Miyatani and Sano Makoto :
An exponential sum and higher-codimensional subvarieties of projective spaces over finite field,
Hiroshima Mathematical Journal, Vol.44, No.3, 327-340, 2014.
(DOI: 10.32917/hmj/1419619750)