Issue
RAIRO-Theor. Inf. Appl.
Volume 59, 2025
Generation, enumeration and tiling
Article Number 5
Number of page(s) 14
DOI https://doi.org/10.1051/ita/2025005
Published online 19 August 2025
  1. Y. Ohno, J. Okuda and W. Zudilin, Cyclic q-MZSV sum. J. Number Theory 132 (2012) 144–155. [Google Scholar]
  2. Y. Takeyama, A q-analogue of non-strict multiple zeta values and basic hypergeometric series. Proc. Amer. Math. Soc. 137 (2009) 2997–3002. [Google Scholar]
  3. T. Komatsu, On q-generalized (r, s)-Stirling numbers. Aequationes Math. 98 (2024) 1281–1304. [Google Scholar]
  4. T. Komatsu, Some explicit values of a q-multiple zeta function at roots of unity. arXiv:2505.09357 (2025). [Google Scholar]
  5. T. Komatsu, On s-Stirling transform and poly-Cauchy numbers of the second kind with level 2. Aequationes Math. 97 (2023) 31–61. [Google Scholar]
  6. D.M. Bradley, Multiple q-zeta values. J. Algebra 283 (2005) 752–798. [Google Scholar]
  7. K.-G. Schlesinger, Some remarks on q-deformed multiple polylogarithms. arXiv:math/0111022 (2001). [Google Scholar]
  8. K. Tasaka, Finite and symmetric colored multiple zeta values and multiple harmonic q -series at roots of unity. Sel. Math., New Ser. 27 (2021) Paper No. 21, 34. [Google Scholar]
  9. J. Zhao, Multiple q-zeta functions and multiple q-polylogarithms. Ramanujan J. 14 (2007) 189–221. [Google Scholar]
  10. W. Zudilin, Algebraic relations for multiple zeta values (in Russian). Uspekhi Mat. Nauk 58 (2003) 3–32; translation in Russian Math. Surv. 58 (2003) 1-29. [Google Scholar]
  11. A.Z. Broder, The r-Stirling numbers. Discrete Math. 49 (1984) 241–259. [Google Scholar]
  12. H. Bachmann, Y. Takeyama and K. Tasaka, Cyclotomic analogues of finite multiple zeta values. Compositio Math. 154 (2018) 2701–2721. [Google Scholar]
  13. H. Bachmann, Y. Takeyama and K. Tasaka, Special values of finite multiple harmonic q-series at roots of unity. Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA), vol. 2. IRMA Lect. Math. Theor. Phys., vol. 32. EMS Publishing House, Berlin (2020) 1-18. [Google Scholar]
  14. Z. Li and E. Pan, Sum of interpolated finite multiple harmonic q-series. J. Number Theory 201 (2019) 148–175. [Google Scholar]
  15. T. Ernst, q-Stirling numbers, an umbral approach. Adv. Dyn. Syst. Appl. 3 (2008) 251–282. [Google Scholar]
  16. T. Komatsu, J.L. Ramirez and D. Villamizar, A combinatorial approach to the Stirling numbers of the first kind with higher level. Stud. Sci. Math. Hung. 58 (2021) 293–307. [Google Scholar]
  17. T. Komatsu, J.L. Ramirez and D. Villamizar, A combinatorial approach to the generalized central factorial numbers. Mediterr. J. Math. 18 (2021) Article 192, 14. [Google Scholar]
  18. M.E. Hoffman, Harmonic-number summation identities, symmetric functions, and multiple zeta values. Ramanujan J. 42 (2017) 501–526. [Google Scholar]
  19. I.G. MacDonald, Symmetric Functions and Hall Polynomials, 2nd edn. Clarendon Press, Oxford (1995). [Google Scholar]
  20. T. Muir, The Theory of Determinants in the Historical Order of Development, 4 vols. Dover Publications, New York (1960). [Google Scholar]
  21. N. Trudi, Intorno ad alcune formole di sviluppo. Rendic. dell' Accad. Napoli (1862) 135–143. [Google Scholar]
  22. T. Komatsu, Bernoulli numbers with level 2. Aequationes Math. 99 (2025) 71–87. [Google Scholar]
  23. T. Komatsu and J.L. Ramirez, Some determinants involving incomplete Fubini numbers. An. Stiint. Univ. "Ovidius" Constanta Ser. Mat. 26 (2018) 143–170. [Google Scholar]

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