Research Areas
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Natural Science / Algebra
Graduate School
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Nagoya University
Doctor's Course, 2009.09, Completed
External Career
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Nagoya University, Special researcher of the Japan Society for the Promotion of Science, 2009.10 - 2011.03
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Nagoya University, 2011.04 - 2012.03
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Tokyo University of Science, Researcher, 2012.04 - 2013.03
Research Career
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Study on congruence zeta functions of cyclotomic function fields, 2009.04 - 2011.03
Papers
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The p-part of divisor class numbers for cyclotomic function fields, Communications of the Korean Mathematical Society, 2023.07
Daisuke Shiomi
Single Author
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On the p-divisibility of class numbers of cyclotomic function fields, Functiones et Approximatio, 2019.09
Daisuke Shiomi
Single Author
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On the irreducibility of Fibonacci and Lucas polynomials over finite fields, Finite Fields and Their Applications, 2017.11
Hidetaka Kitayama, Daisuke Shiomi
Multiple Authorship (Including Foreigners)
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Unit indices of function fields of degree four, International of Journal of Number theory, 2016.11
Daisuke Shiomi
Single Author
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On the ordinarity of the maximal real subfield of cyclotomic function fields, Acta Arithmetica, 2014.10
Daisuke Shiomi
Single Author
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Explicit formulas for Hasse-Witt invariants of cyclotomic function fields with conductor of degree two, 数理解析研究所講究録別冊, 2013.12
Daisuke Shiomi
Single Author
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Ordinary cyclotomic function fields, Journal of number theory, 133(2) 523-533, 2013.02
Daisuke Shiomi
Single Author
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On the relative zeta function in function fields, Communications of the Korean Mathematical Society, 27(3) 455-464, 2012.09
Daisuke Shiomi
Single Author
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On the Deuring-Shafarevich formula, Tokyo Jornal of mathematics, 2011.12
Daisuke Shiomi
Single Author
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Determinant formulas for zeta functions for real abelian function fields, Proceedings of the Japan Academy, Series A, 87(10) 183-185, 2011.12
Daisuke Shiomi
Single Author
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The Hasse-Witt invariant of cyclotomic function fields, Acta Arithmetica, 150(3) 227-240, 2011.11
Daisuke Shiomi
Single Author
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A determinant formula for relative congruence zeta functions for cyclotomic function fields, Journal of the Australian Mathematical Society, 89 133-144, 2010.08
Daisuke Shiomi
Single Author
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A determinant formula for congruence zeta functions of maximal real cyclotomic function fields, Acta Arithmetica, 138(3) 259-268, 2009.07
Daisuke Shiomi
Single Author
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Maillet determinant for real abelian number fields and its applications, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 77(1) 191-199, 2007.12
Daisuke Shiomi
Single Author