Issue
RAIRO-Theor. Inf. Appl.
Volume 60, 2026
Diophantine Analysis and Related Topics (DART2025Z)
Article Number 20
Number of page(s) 23
DOI https://doi.org/10.1051/ita/2026019
Published online 04 June 2026
  1. A.T. Benjamin, D. Gaebler and R. Gaebler, A combinatorial approach to hyperharmonic numbers. Integers 3 (2003) A15. [Google Scholar]
  2. A. Devoto and D.W. Duke, Table of integrals and formulae for Feynman diagram calculations. Riv. Nuovo Cimento 7 (1984) 1–39.. [Google Scholar]
  3. P.J. De Doelder, On some series containing ψ(x) – ψ(y) and (ψ(x) – ψ(y))2 for certain values of x and y. J. Comput. Appl. Math. 37 (1991) 125–141. [Google Scholar]
  4. A. Dil and K.N. Boyadzhiev, Euler sums of hyperharmonic numbers. J. Number Theory 147 (2015) 490–498. [Google Scholar]
  5. A. Dil, I. Mezo and M. Cenkci, Evaluation of Euler-like sums via Hurwitz zeta values. Turkish J. Math. 41 (2017) 1640–1655. [Google Scholar]
  6. P. Flajolet and B. Salvy, Euler sums and contour integral representations. Exp. Math. 7 (1998) 15–35. [Google Scholar]
  7. K. Kamano, Dirichlet series associated with hyperharmonic numbers. Mem. Osaka Inst. Tech. Ser. A 56 (2011) 11–15. [Google Scholar]
  8. R. Li, Euler sums of generalized alternating hyperharmonic numbers. Rocky Mountain J. Math. 51 (2021) 1299–1313. [Google Scholar]
  9. R. Li, Generalized alternating hyperharmonic number sums with reciprocal binomial coefficients. J. Math. Anal. Appl. 504 (2021) Paper No. 125397. [Google Scholar]
  10. R. Li, Euler sums of generalized hyperharmonic numbers. Funct. Approx. Comment. Math. 66 (2022) 179–189. [Google Scholar]
  11. R. Li, Generalized hyperharmonic number sums with reciprocal binomial coefficients. Math. Slovaca 72 (2022) 1111–1128. [Google Scholar]
  12. R. Li, Euler sums of generalized alternating hyperharmonic numbers II. Ramanujan J. 62 (2023) 383–411. [Google Scholar]
  13. Y. Matsuoka, On the values of a certain Dirichlet series at rational integers. Tokyo J. Math. 5 (1982) 399–403. [Google Scholar]
  14. I. Mezö and A. Dil, Hyperharmonic series involving Hurwitz zeta function. J. Number Theory 130 (2010) 360–369. [Google Scholar]
  15. N. Omur and S. Koparal, On the matrices with the generalized hyperharmonic numbers of order r. Asian-Eur. J. Math. 11 (2018) 1850045. [Google Scholar]
  16. A. Sofo, Harmonic number sums in higher powers. J. Math. Appl. 2 (2011) 15–22. [Google Scholar]
  17. A. Sofo, Quadratic alternating harmonic number sums. J. Number Theory 154 (2015) 144–159. [Google Scholar]
  18. A. Sofo, Second order alternating harmonic number sums. Filomat 30 (2016) 3511–3524. [Google Scholar]
  19. A. Sofo, Identities for alternating inverse squared binomial and harmonic number sums. Mediterr. J. Math. 13 (2016) 1407–1418. [Google Scholar]
  20. B.C. Berndt, Ramanujan's Notebooks. Part I. Springer-Verlag, New York (1985). [Google Scholar]
  21. J.H. Conway and R.K. Guy, The Book of Numbers. Springer, New York (1996). [Google Scholar]
  22. D.H. Bailey, J.M. Borwein and R. Girgensohn, Experimental evaluation of Euler sums. Exp. Math. 3 (1994) 17–30. [Google Scholar]
  23. M. Can, L. Kargin, A. Dil and G. Soylu, Euler sums of generalized harmonic numbers and connected extensions. Appl. Anal. Discrete Math. 17 (2023) 401–417. [Google Scholar]
  24. W.Y.C. Chen, A.M. Fu and I.F. Zhang, Faulhaber's theorem on power sums. Discrete Math. 309 (2009) 2974–2981. [Google Scholar]
  25. D.E. Knuth, The Art of Computer Programming. Vols. 1-3. Addison-Wesley, Reading, MA (1968). [Google Scholar]

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