Geodesic
Integral representation and the computation of multiple combinatorial sums from Hall's commutator theory
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 1, pp. 12-20

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In this paper we prove a series of combinatorial identities arising from computing the exponents of the commutators in P. Hall's collection formula. We also compute a sum in closed form that arises from using the collection formula in Chevalley groups for solving B. A. F. Wehrfritz problem on the regularity of their Sylow subgroups.
Keywords: integral representation, method of coefficients
Mots-clés : P. Hall's collection formula. 
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Georgy P. Egorychev; Sergey G. Kolesnikov; Vladimir M. Leontiev. Integral representation and the computation of multiple combinatorial sums from Hall's commutator theory. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 1, pp. 12-20. http://geodesic.mathdoc.fr/item/JSFU_2021_14_1_a1/