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A Q-analogue Of Zhang's Binomial Coefficient Identities

Posted on:2010-02-21Degree:MasterType:Thesis
Country:ChinaCandidate:Y J LinFull Text:PDF
GTID:2120360275993944Subject:Operational Research and Cybernetics
Abstract/Summary:PDF Full Text Request
In this paper, we prove some identities for the alternating sums of squares and cubes of the partial sum of the q-binomial coefficients. For example, we obtainOur proof leads to q-analogues of the sum of the first n squares and the sum of odd squares due to Schlosser. We also show that the q-binomial rational root theorem obtained by Slavin [Integers 8 (2008), #A05] can be easily deduced from the q-Lucas theorem.
Keywords/Search Tags:binomial coefficient, q-binomial coefficient, partial sum, greatest common divisor, root of unity
PDF Full Text Request
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