Geodesic
Properties of coefficients of certain linear forms in generalized polylogarithms
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 41-58

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We study properties of coefficients of a linear form originating from a multiple integral. As a corollary, we prove Vasilyev's conjecture, connected with the problem of irrationality of the Riemann zeta function at odd integers. 
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     author = {S. A. Zlobin},
     title = {Properties of coefficients of certain linear forms in generalized polylogarithms},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {41--58},
     publisher = {mathdoc},
     volume = {11},
     number = {6},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a5/}
}
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S. A. Zlobin. Properties of coefficients of certain linear forms in generalized polylogarithms. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 6, pp. 41-58. http://geodesic.mathdoc.fr/item/FPM_2005_11_6_a5/