Organization
Fukushima Global Medical Science Center Radiation Medical Science Center for Fukushima Health Management Survey Specially Appointed Professor
Title
Specially Appointed Professor
Contact information
OKADA Tatsuya
Degree
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博士(情報科学) ( 東北大学 )
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理学修士 ( 東北大学 )
Research Interests
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Digital sum problems, Polynomial measure, Multifractal, Fractal
Research Areas
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Natural Science / Basic mathematics / Mathematics in General (including Probability Theory and Mathematical Statistics)
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Natural Science / Applied mathematics and statistics / Mathematics in General (including Probability Theory and Mathematical Statistics)
Research History
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Fukushima Medical University Fukushima Global Medical Science Center Radiation Medical Science Center for Fukushima Health Management Survey Specially Appointed Professor
2021.4 - Now
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Fukushima Medical University School of Medicine (Human and Natural Sciences) Department of Natural Sciences (The Section of Mathematics and Informatics) Professor
2017.2 - 2021.3
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Fukushima Medical University School of Medicine (Human and Natural Sciences) Department of Natural Sciences (The Section of Mathematics and Informatics)
2017.2 - 2021.3
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Fukushima Medical University School of Medicine (Human and Natural Sciences) Department of Natural Sciences (The Section of Mathematics and Informatics)
2017.2 - 2021.3
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Fukushima Medical University School of Medicine (Human and Natural Sciences) Department of Natural Sciences (The Section of Mathematics and Informatics)
2017.2 - 2021.3
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Fukushima Medical University School of Medicine (Human and Natural Sciences) Department of Natural Sciences (The Section of Mathematics and Informatics)
2017.2 - 2021.3
Papers
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Power and exponential sums of digital sums with information per digits
Mathematics Journal of Toyama University 26 35 - 44 2003
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An explicit formula of subblock occurrences for the p-adic expansion
Interdisciplinary Information Sciences 6 ( 2 ) 115 - 121 2002（ ISSN:1340-9050 ）
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Digital sum problems for the p-adic expansion of natural numbers
Intersisciplilnary Info. Sciences 6 ( 2 ) 105 - 109 2000
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Iuj Markov-aj Procezoj kaj Iliaj Infinitezimaj Generantoj en Vasta Senco(共著)
Aktoj de Internacia Scienca Akademio Comenius, (]E86B8[)ina Esperanto-Eldonejo 1 66 - 69 1992
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"""An Explicit Formula of the Exponential Sums of Digutal Sums""(共著)"
the Journal of Industrial and Applied Mathematics 12 ( 3 ) 425 - 438 1995
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A Generalization of Hata-Yamaguti's Results on Takagi Function II : Multinomial Case(共著)
the Japan Journal of Industrial and Applied Mathematics 13 ( 3 ) 435 - 463 1996
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Multifractal Spectrum of Multinomial Measures(共著)
Proceeding of the Japan Academy, Ser. A 73 ( 7 ) 123 - 125 1997
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A criterion for uniform integrability of exponential martingales
Tohoku Mathematical Journal 34 ( 4 ) 495 - 498 1982
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Second order differential operators and Dirichlet integrals with singular coefficients:I. Functional calculs of one-dimensional operators
Tohoku Mathematical Journal 39 ( 4 ) 465 - 504 1987
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Opereteeurs du second ordre a coefficients irreguliers en une dimension et leur calcul fonctionnel
C. R. Acad. Sc. Paris 302 ( 1 ) 21 - 24 1986
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Asymptotic Behavior of Skew Conditional Heat Kernels on Graph Networks
Canadian Journal of Mathematics 45 ( 4 ) 863 - 878 1993
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Applications of measure theory to digital sum problems
Zenji Kobayashi,Takeshi Sekiguchi,Yasunobu Shiota
Seminar on Mathematical Sciences 35 95 - 109 2006.8（ ISSN:1880-6511 ）
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Applications of Binomial Measures to Power Sums of Digital Sums(共著)
Journal of Number Theory 52 ( 2 ) 256 - 266 1995
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An Explicit Formula of the Newman-Coquet Exponential Sum
Interdisciplinary Information Sciences 13 ( 1 ) 1 - 6 2007.1
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On a distribution function of a probability measure involving a permutation.
Yuichi Kamiya, Tatsuya Okada, Takeshi Sekiguchi and Yasunobu Shiota
arXiv.[math.NT] 1 - 20 2015.4
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Power and exponential sums for generalized coding systems by a measure theoretic approach.
Yuichi Kamiya, Tatsuya Okada, Takeshi Sekiguchi and Yasunobu Shiota
Theoretical Computer Science 592 23 - 38 2015.4（ ISSN:0304-3975 ）
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Masuda A, Yoshinaga K, Naya M, Manabe O, Yamada S, Iwano H, Okada T, Katoh C, Takeishi Y, Tsutsui H, Tamaki N
EJNMMI research 6 ( 1 ) 41 2016.12
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Power and exponential sums for generalized coding systems by a measure theoretic approach
Kamiya Y., Okada T., Sekiguchi T., Shiota Y.
Theoretical Computer Science 592 23 - 38 2015.8（ ISSN:03043975 ）
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Indeterminacy in the WHO calssification of tumors: an example of the histopathological diagnosis of brain tumors
Tanaka Gaku, Nakazato Yoichi, Irie Tarou, Okada Tatsuya, Abe Masafumi
Brain Tumor Pathology 28 ( 3 ) 247 - 251 2011.7
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On exponential sums of digital sums related to Gelfond's theorem
T.Okada, Z.Kobayashi, T.Sekiguchi and Y.Shiota
AIP Conference Proceedings 976 176 - 189 2008.3
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Regulated motion of glycoproteins revealed by direct visualization of a single cargo in the endoplasmic reticulum
H.Nagaya, T.Tamura,T.Okada 他7名
Journal of Cell Biology 180 ( 1 ) 129 - 143 2008.1
Books
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Explicit Heat Kernels on Graphs and Spectral Analysis(共著)
Several Complex Variables : Proceeding of the Mittag-Leffler Institute, 1987-1988, Princeton University Press 1992
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塩竈神社算額解義
菅原通（未解決問題解答）
第八回全国和算研究大会宮城大会実行委員会 2014.7
Presentations
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あるコード系に関するデジタル和問題への測度論の応用
実解析学シンポジウム2014
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Digital sum problems for generalized code systems
RIMS研究集会解析的整数論 － 数論的対象の分布と近似
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問題〈１）の解答を作成して
「塩竈神社算額解義」奉告祭 第２３回東北地区和算研究交流会
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An application of measure theory to the digital sum problems for certain code
International Congress for Mathematicans Seoul 2014
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福島県立医科大学医学部の入試状況～入試データの解析
第26回総合科学研究会
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福島県立医科大学の地域枠入試
第44回医学教育セミナーとワークショップ in 福島
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Applications of a multinomial measure to the digital sums.
International Congress of Mathematicians
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数とフラクタル
第14回総合科学研究会
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An application of multinomial measure to a certain exponential sum of digital sums
International Congress of Mathematicians
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Applications of Measure theory to digital sum problems
Diophantine Analysis and Related Fields 2006
Research Projects
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細胞内膜管腔系における１分子ダイナミクスの研究
2007.4