Mordell Curv
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Mordell curve is an elliptic curve y2 = x3 + k, with k an integer. These curves were closely studied by Louis Mordell, from the point of view of determining their integer points. He showed that for k fixed there are only finitely many solutions (x,y) in integers. In other words, the differences of perfect squares and perfect cubes tend to . The question of how fast was dealt with in principle by Baker''s method. Hypothetically this issue is dealt wit...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Mordell curve is an elliptic curve y2 = x3 + k, with k an integer. These curves were closely studied by Louis Mordell, from the point of view of determining their integer points. He showed that for k fixed there are only finitely many solutions (x,y) in integers. In other words, the differences of perfect squares and perfect cubes tend to . The question of how fast was dealt with in principle by Baker''s method. Hypothetically this issue is dealt with by Marshall Hall''s conjecture.
