Top Page > Top Page of the English Version > Mathematics > Publications

Publications

The documents are listed in reverse chronological order. Documents written in Japanese are omitted; they are included in the Japanese version of this list.

Research Papers

The authors are listed alphabetically in joint articles. My Erdős number is 2 via David Preiss.

Refereed

  1. Minoru Hirose, Hideki Murahara, and Shingo Saito.
    Interpolated polynomial multiple zeta values of fixed weight, depth, and height. (author's version)
    Pure and Applied Functional Analysis, vol. 8 (2023), no. 6, pp. 1723-1732.
    arXiv:2211.00265.
  2. Minoru Hirose, Hideki Murahara, and Shingo Saito.
    Ohno relation for regularized multiple zeta values. (author's version)
    Journal of the Mathematical Society of Japan, vol. 75 (2023), no. 4, pp. 1177-1193.
    arXiv:2105.09631.
  3. Minoru Hirose, Hideki Murahara, and Shingo Saito.
    Generating functions for Ohno type sums of finite and symmetric multiple zeta-star values. (author's version)
    Asian Journal of Mathematics, vol. 25 (2021), no. 6, pp. 871-882.
    arXiv:1905.04875, MR4504318, Zbl 1497.11216.
  4. Minoru Hirose, Hideki Murahara, and Shingo Saito.
    Generating functions for sums of polynomial multiple zeta values. (author's version)
    Tohoku Mathematical Journal, vol. 74 (2022), no. 3, pp. 399-428.
    arXiv:2011.04220, MR4490402, Zbl 07599290.
  5. Minoru Hirose, Kohtaro Imatomi, Hideki Murahara, and Shingo Saito.
    Ohno-type relations for classical and finite multiple zeta-star values.
    Kyushu Journal of Mathematics, vol. 75 (2021), no. 1, pp. 115-124.
    arXiv:1806.09299, MR4272374, Zbl 1490.11087.
  6. Minoru Hirose, Hideki Murahara, and Shingo Saito.
    Polynomial generalization of the regularization theorem for multiple zeta values. (author's version)
    Publications of the Research Institute for Mathematical Sciences, vol. 56 (2020), no. 1, pp. 207-215.
    arXiv:1808.06745, MR4055979, Zbl 1469.11321.
  7. Hideki Murahara and Shingo Saito.
    Restricted sum formula for finite and symmetric multiple zeta values. (author's version)
    Pacific Journal of Mathematics, vol. 303 (2019), no. 1, pp. 325-335.
    arXiv:1801.02772, MR4044866, Zbl 1456.11164.
  8. Minoru Hirose, Hideki Murahara, and Shingo Saito.
    Weighted sum formula for multiple harmonic sums modulo primes. (author's version)
    Proceedings of the American Mathematical Society, vol. 147 (2019), no. 8, pp. 3357-3366.
    arXiv:1808.00844, MR3981114, Zbl 1457.11116.
  9. Masanobu Kaneko, Kojiro Oyama, and Shingo Saito.
    Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values. (author's version)
    Bulletin of the Australian Mathematical Society, vol. 100 (2019), no. 1, pp. 34-40.
    arXiv:1810.04813, MR3977299, Zbl 1470.11227.
  10. Shingo Saito and Noriko Wakabayashi.
    Bowman-Bradley type theorem for finite multiple zeta values.
    Tohoku Mathematical Journal, vol. 68 (2016), no. 2, pp. 241-251.
    arXiv:1304.2608, MR3514700, Zbl 1412.11107.
  11. Shingo Saito and Noriko Wakabayashi.
    Sum formula for finite multiple zeta values.
    Journal of the Mathematical Society of Japan, vol. 67 (2015), no. 3, pp. 1069-1076.
    arXiv:1305.6529, MR3376578, Zbl 1329.11093.
  12. David Preiss and Shingo Saito.
    Knot points of typical continuous functions.
    Transactions of the American Mathematical Society, vol. 366 (2014), no. 2, pp. 833-856.
    arXiv:1204.2887, MR3130318, Zbl 1292.26014.
  13. Hiroki Kondo, Shingo Saito, and Tatsushi Tanaka.
    The Bowman-Bradley theorem for multiple zeta-star values.
    Journal of Number Theory, vol. 132 (2012), no. 9, pp. 1984-2002.
    arXiv:1003.5973, video abstract, MR2925858, Zbl 1269.11082.
  14. Hiroki Kondo and Shingo Saito.
    Bayesian approach to measuring parameter and model risk in loss ratio estimation.
    Journal of Math-for-Industry, vol. 4 (2012), no. B, pp. 85-89.
    MR3072320, Zbl 1302.62224.
  15. Hiroki Kondo, Shingo Saito, and Setsuo Taniguchi.
    Asymptotic tail dependence of the normal copula.
    Journal of Math-for-Industry, vol. 4 (2012), no. A, pp. 73-78.
    MR2912033, Zbl 1302.93196.
  16. Shingo Saito and Tatsushi Tanaka.
    A note on infinite divisibility of zeta distributions.
    Applied Mathematical Sciences, vol. 6 (2012), no. 30, pp. 1455-1461.
    MR2905097, Zbl 1253.60021.
  17. Takehiro Hirotsu, Hiroki Kondo, Takuya Sato, Shingo Saito, Tatsushi Tanaka, and Setsuo Taniguchi.
    Anderson-Darling test and the Malliavin calculus.
    Journal of Math-for-Industry, vol. 3 (2011), no. A, pp. 73-78.
    MR2788709, Zbl 1321.60121.
  18. Shingo Saito, Tatsushi Tanaka, and Noriko Wakabayashi.
    Combinatorial remarks on the cyclic sum formula for multiple zeta values.
    Journal of Integer Sequences, vol. 14 (2011), Article 11.2.4.
    arXiv:1006.3984, MR2783958, Zbl 1239.11094.
  19. Shingo Saito.
    Generalisation of Mack's formula for claims reserving with arbitrary exponents for the variance assumption.
    Journal of Math-for-Industry, vol. 1 (2009), no. A, pp. 7-15.
    MR2654325, Zbl 1198.91092.
  20. Shingo Saito.
    Continuity points of typical bounded functions.
    Real Analysis Exchange, vol. 34 (2008/2009), no. 1, pp. 249-254.
    arXiv:0808.1617, MR2527138, Zbl 1181.26007.
  21. Shingo Saito.
    Residuality of families of Fσ sets.
    Real Analysis Exchange, vol. 31 (2005/2006), no. 2, pp. 477-487.
    arXiv:math/0506379, MR2265789, Zbl 1116.54008.

Preprint(s)

  1. Minoru Hirose, Hideki Murahara, and Shingo Saito.
    t-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately.
    arXiv:2203.07701.
  2. Minoru Hirose and Shingo Saito.
    Characterization of order structures avoiding three-term arithmetic progressions.
    arXiv:2404.13510.

Conference Proceedings

Refereed

  1. Shingo Saito.
    Numerical tables of finite multiple zeta values.
    RIMS Kôkyûroku Bessatsu, B68 (2017), pp. 191-208.
    Proceedings for Various aspects of multiple zeta values. MR3822592, Zbl 06937998.
  2. Hiroki Kondo and Shingo Saito.
    Applicability of Bayesian methods for loss ratio estimation.
    The Impact of Applications on Mathematics: Proceedings of Mathematics for Industry 2013, Mathematics for Industry, vol. 1 (2014), pp. 283-288.
    Proceedings for the Forum "Math-for-Industry" 2013.
  3. Shingo Saito.
    Typical Fσ sets and typical continuous functions.
    Acta Universitatis Carolinae, Mathematica et Physica, vol. 47 (2006), no. 2, pp. 35-41.
    Proceedings for the 34th Winter School in Abstract Analysis 2006. MR2512172, Zbl 1154.52301.

Not Refereed

  1. Shingo Saito.
    Continuity points of typical functions. (whole volume, author's version)
    Hokkaido University Technical Report Series in Mathematics, no. 140 (2009), pp. 86-90.
    Technical report for the 5th Mathematics Conference for Young Researchers.
  2. Shingo Saito.
    Outline proof of the equivalence concerning knot points of typical continuous functions. (author's version)
    Proceedings for the Real Analysis Symposium 2008.
  3. Shingo Saito.
    A variant of the Banach-Mazur game and knot points of typical continuous functions.
    Research Institute for Mathematical Sciences Kôkyûroku, no. 1619 (2008), pp. 91-96.
    Proceedings for the Workshop on Combinatorial and Descriptive Set Theory.
  4. Shingo Saito.
    Residuality of families of Fσ sets.  (author's version)
    Real Analysis Exchange 2005, 29th Summer Symposium Conference, pp. 97-102. MR2219596, Zbl 1098.54028.
    Conference report for the 29th Summer Symposium in Real Analysis.

Other papers

Not Refereed

  1. Satoru Uchida, Keiko Shimojo, Tomoaki Watanabe, Shingo Saito, and Setsuo Taniguchi.
    Vocabulary Comparison in Works of American Prose: An Interdisciplinary Analysis Using Word2vec.
    Studies in English Language and Literature, vol. 68 (2018), pp. 71-84.

Books

Book Chapters

  1. Shingo Saito.
    Introduction to the premium principle based on the Wang transform.
    A Mathematical Approach to Research Problems of Science and Technology: Theoretical Basis and Developments in Mathematical Modeling, Mathematics for Industry, vol. 5 (2014), pp. 207-217. Zbl 1298.00332.

Thesis

Shingo SAITO