id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-92	Gupta, A. K.; Kabe, D. G.	Selberg-type squared matrices gamma and beta integrals	2007	5	.pdf	application/pdf	1311	87	79	= X1 − iX2 − jX3 − kX4 − `X5 −mX6 − nX7 − rX8, (13) is the HC conjugate of Y , and dY = dX1dX2 . . . Math, 1 (2008), (197-201) 199 where Σ0, p× p, is [Σ1 − Σ2 − Σ3 − Σ4 − Σ5 − Σ6 − Σ7 − Σ8Σ2Σ1 − Σ4Σ3 − Σ6Σ5Σ8 − Σ7Σ3Σ4Σ1 -Σ2 −Σ7Σ8Σ5Σ4Σ4 −Σ3Σ2Σ1 −Σ8Σ7 −Σ4Σ3Σ5Σ6Σ7Σ8Σ1 −Σ2 −Σ3 −Σ4Σ6 −Σ5 − Σ8 − Σ7Σ2Σ1Σ4Σ3Σ7 − Σ8 − Σ5Σ6Σ3 − Σ4Σ1Σ2 − Σ8Σ7Σ6 − Σ5Σ4Σ3 − Σ2Σ1], (10) where now t = 2, and we use Hamilton’s octonions, Halberstam and Ingram (1967, p. 654, equation (1)).	cache/ejpam-92.pdf	txt/ejpam-92.txt