A method of finding an integral solution to x3 + y3 = kz4
In this article, we proved that an integral solution (a, b, c) to the equation x3+y3 = kz4 is of the form a = rs, b = rt for any two integers s, t and c = (r3u/d3)1/4 for some u with (k,r) = d where k divides a3 + b3 and r is a common factor of a and b.
Gorde:
Egile Nagusiak: | , , |
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Formatua: | Conference or Workshop Item |
Hizkuntza: | English |
Argitaratua: |
American Institute of Physics
2010
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Sarrera elektronikoa: | http://psasir.upm.edu.my/id/eprint/57284/1/A%20method%20of%20finding%20an%20integral%20solution%20to%20x3%20%2B%20y3%20%3D%20kz4.pdf |
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Gaia: | In this article, we proved that an integral solution (a, b, c) to the equation x3+y3 = kz4 is of the form a = rs, b = rt for any two integers s, t and c = (r3u/d3)1/4 for some u with (k,r) = d where k divides a3 + b3 and r is a common factor of a and b. |
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