References
- G. E. Andrews, R. Askey, and R. Roy, Special Functions, Encyclopedia of Mathematics and its Applications, 71, Cambridge University Press, Cambridge, 1999.
- D. H. Bailey, J. M. Borwein, and R. E. Crandall, Computation and theory of extended Mordell-Tornheim-Witten sums, Math. Comp. 83 (2014), no. 288, 1795-1821. https://doi.org/10.1090/S0025-5718-2014-02768-3
- D. H. Bailey, J. M. Borwein, and R. Girgensohn, Experimental evaluation of Euler sums, Experiment. Math. 3 (1994), no. 1, 17-30. https://doi.org/10.1080/10586458.1994.10504573
- B. C. Berndt, Ramanujan's Notebooks. Part I, Springer-Verlag, New York, 1985.
- B. C. Berndt, Ramanujan's Notebooks. Part II, Springer-Verlag, New York, 1989.
- D. Borwein, J. M. Borwein, and R. Girgensohn, Explicit evaluation of Euler sums, Proc. Edinburgh Math. Soc. (2) 38 (1995), no. 2, 277-294.
- J. Borwein, P. Borwein, R. Girgensohn, and S. Parnes Making sense of experimental mathematics, Math. Intelligencer 18 (1996), no. 4, 12-18. https://doi.org/10.1007/BF03027288
- J. M. Borwein, D. M. Bradley, D. J. Broadhurst, and Petr. Lisonek, Special values of multiple polylogarithms, Trans. Amer. Math. Soc. 353 (2001), no. 3, 907-941. https://doi.org/10.1090/S0002-9947-00-02616-7
- J. M. Borwein and R. Girgensohn, Evaluation of triple Euler sums, Electron. J. Combin. 3 (1996), no. 1, Research Paper 23, approx. 27 pp.
- J. M. Borwein, I. J. Zucker, and J. Boersma, The evaluation of character Euler double sums, Ramanujan J. 15 (2008), no. 3, 377-405. https://doi.org/10.1007/s11139-007-9083-z
- M. W. Coffey and N. Lubbers, On generalized harmonic number sums, Appl. Math. Comput. 217 (2010), no. 2, 689-698. https://doi.org/10.1016/j.amc.2010.06.006
- L. Comtet, Advanced combinatorics, revised and enlarged edition, D. Reidel Publishing Co., Dordrecht, 1974.
- A. Dil and K. N. Boyadzhiev, Euler sums of hyperharmonic numbers, J. Number Theory 147 (2015), 490-498. https://doi.org/10.1016/j.jnt.2014.07.018
- M. Eie and C.-S. Wei, Evaluations of some quadruple Euler sums of even weight, Funct. Approx. Comment. Math. 46 (2012), part 1, 63-77. https://doi.org/10.7169/facm/2012.46.1.5
- P. Flajolet and B. Salvy, Euler sums and contour integral representations, Experiment. Math. 7 (1998), no. 1, 15-35. https://doi.org/10.1080/10586458.1998.10504356
- P. Freitas, Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums, Math. Comp. 74 (2005), no. 251, 1425-1440. https://doi.org/10.1090/S0025-5718-05-01747-3
- Z. Li, On functional relations for the alternating analogues of Tornheim's double zeta function, Chin. Ann. Math. Ser. B 36 (2015), no. 6, 907-918. https://doi.org/10.1007/s11401-015-0933-5
- I. Mezo, Nonlinear Euler sums, Pacific J. Math. 272 (2014), no. 1, 201-226. https://doi.org/10.2140/pjm.2014.272.201
- A. Sofo, Integral identities for sums, Math. Commun. 13 (2008), no. 2, 303-309.
- A. Sofo, Integral forms of sums associated with harmonic numbers. Appl. Math. Comput. 207 (2009), no. 2, 365-372. https://doi.org/10.1016/j.amc.2008.10.044
- A. Sofo, Harmonic sums and integral representations, J. Appl. Anal. 16 (2010), no. 2, 265-277. https://doi.org/10.1515/JAA.2010.018
- A. Sofo, Harmonic number sums in higher powers, J. Math. Anal. 2 (2011), no. 2, 15-22.
- A. Sofo, Harmonic number sums in closed form, Math. Commun. 16 (2011), no. 2, 335-345.
- A. Sofo, New classes of harmonic number identities, J. Integer Seq. 15 (2012), no. 7, Article 12.7.4, 12 pp.
- A. Sofo, Harmonic numbers of order two, Miskolc Math. Notes 13 (2012), no. 2, 499-514.
- A. Sofo, Mixed binomial sum identities, Integral Transforms Spec. Funct. 24 (2013), no. 3, 187-200. https://doi.org/10.1080/10652469.2012.685937
- A. Sofo, Shifted harmonic sums of order two, Commun. Korean Math. Soc. 29 (2014), no. 2, 239-255. https://doi.org/10.4134/CKMS.2014.29.2.239
- A. Sofo, Quadratic alternating harmonic number sums, J. Number Theory 154 (2015), 144-159. https://doi.org/10.1016/j.jnt.2015.02.013
- A. Sofo, Integrals of logarithmic and hypergeometric functions, Commun. Math. 24 (2016), no. 1, 7-22.
- A. Sofo and H. M. Srivastava, Identities for the harmonic numbers and binomial coefficients, Ramanujan J. 25 (2011), no. 1, 93-113. https://doi.org/10.1007/s11139-010-9228-3
- C. Xu and J. Cheng, Some results on Euler sums, Funct. Approx. Comment. Math. 54 (2016), no. 1, 25-37. https://doi.org/10.7169/facm/2016.54.1.3
- C. Xu and Z. Li, Tornheim type series and nonlinear Euler sums, J. Number Theory 174 (2017), 40-67. https://doi.org/10.1016/j.jnt.2016.10.002
- C. Xu, Y. Yan and Z. Shi, Euler sums and integrals of polylogarithm functions, J. Number Theory 165 (2016), 84-108. https://doi.org/10.1016/j.jnt.2016.01.025
- C. Xu, M. Zhang and W. Zhu, Some evaluation of harmonic number sums, Integral Transforms Spec. Funct. 27 (2016), no. 12, 937-955. https://doi.org/10.1080/10652469.2016.1231675