Families of congruent and non-congruent numbers
A positive integer n is a congruent number if it is equal to the area of a right triangle with rational sides. Equivalently, the Mordell-Weil rank of the elliptic curve y²=x(x²-n²) is positive. Otherwise n is a non-congruent number. Although congruent numbers have been studied for centuries, their c...
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| Language: | English |
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University of British Columbia
2013
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| Online Access: | http://hdl.handle.net/2429/44941 |