Riemann zeta値の無理数性に関する論文
R. Apéry, Irrationalité de ζ(2) et ζ(3), Luminy Conference on Arithmetic, Astérisque 61 (1979), 11−13.
A. van der Poorten, A proof that Euler missed... Apéry's proof of the irrationality of ζ(3), An informal report, Math. Intelligencer 1 (1978/79), 195−203.
F. Beukers, A note on the irrationality of ζ(2) and ζ(3), Bull. London Math. Soc. 11 (1979), 268−272.
T. Rivoal, La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs, C. R. Acad. Sci. Paris Sér. I Math. 331 (2000), 267−270.
V. V. Zudilin, On the irrationality of the values of the zeta function at odd points, (Russian) Uspekhi Mat. Nauk 56 (2001), 215−216; translation in Russian Math. Surveys 56 (2001), 423−424.
K. Ball, T. Rivoal, Irrationalité d'une infinité de valeurs de la fonction zêta aux entiers impairs, Invent. Math. 146 (2001), 193−207.
V. V. Zudilin, One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational, Uspekhi Math. Nauk 56 (2001), 149−150; translation in Russian Math. Surveys 56 (2001), 774−776.
コネクターに関する論文
S. Seki, S. Yamamoto, A new proof of the duality of multiple zeta values and its generalizations, Int. J. of Number Theory 15 (2019), 1261–1265.
S. Seki, S. Yamamoto, Ohno-type identities for multiple harmonic sums, J. Math. Soc. Japan 72 (2020), 673–686.
S. Seki, Connectors, RIMS Kôkyûroku 2160 (2020), 15–27.
M. Hirose, N. Sato, S. Seki, The connector for the double Ohno relation, Acta Arith. 201 (2021), 109–118.
H. Kawamura, T. Maesaka, S. Seki, Multivariable connected sums and multiple polylogarithms, Res. Math. Sci. 9 (2022), 4.
B. Brindle, Proving dualities for qMZVs with connected sums, Proc. Japan Acad. Ser. A Math. Sci. 98 (2022), 29–33.
H. Murahara, T. Onozuka, Connectors of the Ohno relation for parametrized multiple series, Rocky Mountain J. Math. 52 (2022), 687–694.
大野泰生, 山本修司, 多重ゼータ値の2-1公式, 日本数学会 雑誌 数学 75 (2023), 389–402.
S. Yamamoto, Duality of one-variable multiple polylogarithms and their q-analogues, Tokyo J. Math. 46 (2023), 301–311.
T. Maesaka, S. Seki, T. Watanabe, Deriving two dualities simultaneously from a family of identities for multiple harmonic sums, preprint.
S. Yamamoto, Some remarks on Maesaka-Seki-Watanabe's formula for the multiple harmonic sums, preprint.
M. Hirose, T. Matsusaka, S. Seki, A discretization of the iterated integral expression of the multiple polylogarithm, preprint.
Y. Tsuruta, Maesaka-Seki-Watanabe's formula for multiple harmonic q-sums, preprint.
Y. Takeyama, A new deformation of multiple zeta value, preprint.