In mathematics, a Mordell curve is an elliptic curve
- y2 = x3 + k,
with k an integer. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and In Mathematics, an elliptic curve is a smooth, projective Algebraic curve of genus one on which there is a specified point O These curves were closely studied by Louis Mordell, from the point of view of determining their integer points. Louis Joel Mordell ( 28 January 1888 - 12 March 1972) was a British mathematician known for pioneering research in Number theory. 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 ∞. This article refers to the REM live recording For the mathematical term see Perfect square. In Arithmetic and Algebra, the cube of a number n is its third power &mdash the result of multiplying it by itself three times The question of how fast was dealt with in principle by Baker's method. Alan Baker (born on August 19 1939) is an English Mathematician. Hypothetically this issue is dealt with by Marshall Hall's conjecture. In Mathematics, Marshall Hall's conjecture is an open question As of 2006, on the differences between Perfect squares and Perfect cubes Aside
References
- Louis Mordell, Diophantine Equations (1969)
Dapyx Software network: MP3 Explorer | Ebook Manager | Zenithic