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Fermat无穷递降法,证明了方程x4+mx2+ny4=z2=z2在(m,n)=±(6,-33),(6,33),(-3,-6),(±12,168),(-6,-12),(12,84)均无正整数解,并且......
利用Fermat无穷递降法,证明了方程x4+mx2y2+ny4=z2在(m,n)=(±18,54),(36,-108),(±36,108),(±18,-108),(-18,108),(±36,756)时......
利用数论方法及Fermat无穷递降法,证明了丢番图方程x4+mx2 y2+ny4=z2在(m,n)=(±6,-3),(6,3),(±3,3),(-12,24),(±12......
Fermat无穷递降法,证明了方程x4+mx2+ny4=z2=z2在(m,n)=±(6,-33),(6,33),(-3,-6),(±12,168),(-6,-12),(12,84)均无正整......
利用fermat无穷递降法证明了方程x4+mx2y2+ny4=z2在(m,n)=(6,-30),(-12,156),(-6,-6),(12,60)时均无正整数解,并且获得了方程在(m,......
利用Fermat无穷递降法,证明了方程x4+12y4=z2 无正整数解,方程x4+3y4=z2 与x4-12y4=z2 均有无穷多组正整数解,并且获得了方程无穷......
利用Fermat无穷递降法,证明了方程x4 +18px2y2 +108p2y4 = z2 与x4 -36px2y2 -108p2y4= z2 在p≡5(mod6)为素数时均有无穷多组正整......
利用Fermat无穷递降法,证明了方程x4-6px2y2+12p2y4=z2与x4+12px2y2-12p2y4=z2在p=5(mod 6)时均有无穷多组正整数解,并且获得了方......
利用Fermat无穷递降法,证明了方程x^+mx^2y^2+ny^4=z^2在(m,n)=(6,±12),(6,30),(-12,-12),(-12,±84)时均无正整数解,并且获得了方......