One variant of the q-Catalan polynomials is defined in terms of Gaussian polynomials by Liu ['On a congruence involving q-Catalan numbers', C. R. Math. Acad. Sci. Paris 358 (2020), 211-215] studied congruences of the form modulo the cyclotomic polynomial, provided that. Apparently, the case has been missing from the literature. Our primary purpose is to fill this gap. In addition, we discuss a certain fascinating link to Dirichlet character sum identities.
Amdeberhan, T., Tauraso, R. (2025). Congruences for sums of Macmahon’s q-Catalan polynomials. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 111(3), 416-427 [10.1017/S0004972724000832].
Congruences for sums of Macmahon’s q-Catalan polynomials
ROBERTO TAURASO
2025-01-01
Abstract
One variant of the q-Catalan polynomials is defined in terms of Gaussian polynomials by Liu ['On a congruence involving q-Catalan numbers', C. R. Math. Acad. Sci. Paris 358 (2020), 211-215] studied congruences of the form modulo the cyclotomic polynomial, provided that. Apparently, the case has been missing from the literature. Our primary purpose is to fill this gap. In addition, we discuss a certain fascinating link to Dirichlet character sum identities.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
