Intersecting semi-disks and the synergy of three quadratic forms
In this paper, we study the Diophantine equation x2 = n2 + mn + np + 2mp with m, n, p, and x being natural numbers. This equation arises from a geometry problem and it leads to representations of primes by each of the three quadratic forms: a2 + b2, a2 + 2b2, and 2a2 − b2. We show that there are inf...
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| Format: | Article |
| Language: | English |
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Sciendo
2019-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
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| Online Access: | https://doi.org/10.2478/auom-2019-0016 |