•  
  •  
 

Keywords

Determinants, Binomial Coefficients, Row Reduction

Abstract

Motivated by a recent work about finite sequences where the n-th term is bounded by n^2, some classes of determinants are evaluated such as the (n − 2) × (n − 2) determinant ∆_n=\det [ (x_i+j \choose i-1)] for n \geq 1, where n, k, h, i, j are integers, (x_k) is a sequence of indeterminates over C and ( A \choose B ) is the usual binomial coefficient. It is proven that D_n=1 and ∆_n=(-1)^{ (n-2)(n-3)/2}.

abs_vol30_pp312-321.pdf (33 kB)
Abstract

Included in

Algebra Commons

Share

COinS
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.