Geodesic
On divisibility of some sums of binomial coefficients arising from collection formulas
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 5, pp. 603-614

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In this paper we establish a series of identities for sums of binomial coefficients to prove their divisibility by prime $n$. These sums arise from exponents of commutators in collection formula for $(xy)^n$ with some restrictions on variables of the commutators.
Keywords: divisibility, collection formulas.
Mots-clés : sums of binomial coefficients 
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     author = {Vladimir M. Leontiev},
     title = {On divisibility of some sums of binomial coefficients arising from collection formulas},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {603--614},
     publisher = {mathdoc},
     volume = {11},
     number = {5},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_5_a7/}
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Vladimir M. Leontiev. On divisibility of some sums of binomial coefficients arising from collection formulas. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 5, pp. 603-614. http://geodesic.mathdoc.fr/item/JSFU_2018_11_5_a7/