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A generalized q-binomial Vandermonde convolution

โœ Scribed by Edward A. Bender


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
150 KB
Volume
1
Category
Article
ISSN
0012-365X

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Nonnegativity results for generalized q-
โœ Susanna Fishel ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 585 KB

Let q be a prime number. The number of subgroups of order qk in an abelian group G of order qn and type 2 is a polynomial in q, [ak']~. In 1987, Lynne Butler showed that the first difference, I-~,'] -[ka-'~], has nonnegative coefficients as a polynomial in q, when 2k ~< 12[. We generalize the first