id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-1623	Kokluce, Bulent	On the Number of Representation of Integers by the Direct Sum of BQFs with Discriminant -191	2012	18	.pdf	application/pdf	6585	217	79	Math, 5 (2012), 451-468 457 6 For 2Ω2 = 12x2 1 + 2x1 x2+ 16x2 2 + 12x2 3 + 2x3 x4+ 16x2 4, by taking A12 = −191, A22 = 12.191 we get; ϕ12 = x1 x2+ 1 2.191 Ω2,ϕ22 = x2 2 − 6 191 Ω2, which will be spherical functions of second order with respect to Ω2. 7 For 2Π2 = 12x2 1 + 10x1x2 + 18x2 2 + 12x2 3 + 10x3x4 + 18x2 4, by taking A11 = 18.191, A22 = 12.191 we get, ϕ11 = x2 1 − 9 191 Π2,ϕ22 = x2 2 − 6 191 Π2, which will be spherical functions of second order with respect to Π2. 8 For 2(F1⊕Φ1) = 2x2 1 +2x1x2+96x2 2+4x2 3+2x3 x4+48x2 4 the determinant D = 1912, A12 = −191, A33 = 48.191, the spherical functions of second order with respect to F1 ⊕Φ1 are; ϕ12 = x1 x2+ 1 2.191 (F1 ⊕Φ1),ϕ33 = x2 3 − 24 191 (F1 ⊕Φ1), 9 For 2(F1⊕Ψ1) = 2x2 1 +2x1x2+96x2 2+8x2 3+2x3 x4+24x2 4 the determinant D = 1912, A12 =−191, A44 = 8.191, the spherical functions of second order with respect to F1⊕Λ1 are; ϕ12 = x1 x2+ 1 2.191 (F1 ⊕Λ1),ϕ44 = x2 4 − 4 191 (F1 ⊕Λ1), 11 For 2(F1⊕Υ1)	cache/ejpam-1623.pdf	txt/ejpam-1623.txt