Representations of positive integers / V. G. Chirskii, V. Yu. Matveev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 6. P. 57-59 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
The problem of representing integers as sums of terms of a certain type is actual in number theory and its applications. We are interested in the average length of these expansions and the required number of auxiliary calculations. The paper deals with DBNS, chains and the polyadic (factorial) expansions of positive integers.
Key words: representations of positive integers as sums.