id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-750	Naika, M S Mahadeva; Bairy, K. Sushan; Manjunatha, M.	Some New Modular Equations of Degree Four and Their Explicit Evaluations	2010	24	.pdf	application/pdf	9471	286	81	− 80Q3P4ca+ 192Q3P3ca+ 144Q2P4ca− 48Q4P3ca+ 96Q2P2ac − 144Q3P2ac + 96acP3Q− 240acP3Q2 + 48acQ4P2 + 16Q4P4ac − 112QP4ac − 16aQ4Pc + 32cQ3aP − 16Q2P2 + 32Q3P − 32Q3P2 + 16Q2P3 + 16Q4P4c − 4Q4P2 + 16Q4P + 240aP3Q3 + 16a2Q3P2 + 8a2Q3P3 + 192Q3P3c + 72Q2P4a − 64Q3P4a− 4a2Q4P2 + 32acP4 − 32a2Q2P3 − 16aQ4P − 16QP4a− 4Q2P4a2 + 16QP4a2 + 32a2QP3 − 16a2Q2P2 + 96Q2P2c − 240Q3P2c − 80cQ4P3 − 4Q2P4 − 240Q3P2a+ 96Q3Pa+ 96Q2P2a+ 96Q3Pc − 16QP4c + 96aP3Q− 112cQ4P − 144Q2P3c − 16a2P4 − 16aP4+ 32cQ4− 16aQ4+ 48Q2P4c + 144cQ4P2 − 16Q4 − 64aQ4P3 + 16Q4P4a+ 32QP3c − 48Q3P4c − 240aP3Q2 + 8Q3P3 = 0. (40) − 12QP3+ 12P2Q3 + 12P3Q2 − 4P3Q3 − 16PQ+ P4 +Q4 = 0. (27) Using the fact that X = PQ and Y = P/Q in (27), we obtain (26).	cache/ejpam-750.pdf	txt/ejpam-750.txt