We present some variations on the Greene-Krammer's identity which involve q-Catalan numbers. Our method reveals an intriguing analogy between these new identities and some congruences modulo a prime.
Tauraso, R. (2012). q-Analogs of some congruences involving Catalan numbers. ADVANCES IN APPLIED MATHEMATICS, 48(5), 603-614 [10.1016/j.aam.2011.12.002].
q-Analogs of some congruences involving Catalan numbers
TAURASO, ROBERTO
2012-01-01
Abstract
We present some variations on the Greene-Krammer's identity which involve q-Catalan numbers. Our method reveals an intriguing analogy between these new identities and some congruences modulo a prime.File in questo prodotto:
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[2012] q-Analogs of some congruences involving Catalan numbers.pdf
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