Cube sums of the forms \(3p\) and \(3p^2\) (Q2664682)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cube sums of the forms \(3p\) and \(3p^2\) |
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Cube sums of the forms \(3p\) and \(3p^2\) (English)
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17 November 2021
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In the present paper the authors prove that for each prime number \(p\) satisfying \(p\equiv 2, 5\pmod{9}\) at least one of \(3p\) and \(3p^2\) is a sum of two cubes of rational numbers. The result is obtained via construction of an appropriate nontrivial Heegner point.
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sums of two cubes
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Heegner points
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elliptic curve
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prime numbers
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