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A new look on the generating function for the number of divisors

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: M. Merca

Editorial: Journal of Number Theory, 149, p.57-69, 2015.


The q-binomial coefficients are specializations of the elementary symmetric functions. In this paper, we use this fact to give a new expression for the generating function of the number of divisors. As corollaries, we obtained new connections between partitions and divisors.

Cuvinte cheie: Divisors, Lambert series, Partitions