Bremner, Andrew (2020) On two four term arithmetic progressions with equal product Annales Mathematicae et Informaticae. 52. pp. 39-55. ISSN 1787-6117 (Online)
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Hivatalos webcím (URL): https://doi.org/10.33039/ami.2020.02.001
Absztrakt (kivonat)
We investigate when two four-term arithmetic progressions have an equal product of their terms. This is equivalent to studying the (arithmetic) geometry of a non-singular quartic surface. It turns out that there are many polynomial parametrizations of such progressions, and it is likely that there exist polynomial parametrizations of every positive degree. We find all such parametrizations for degrees 1 to 4, and give examples of parametrizations for degrees 5 to 10.
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| Nyelv: | angol | ||||||||
| Kötetszám: | 52. | ||||||||
| DOI azonosító: | 10.33039/ami.2020.02.001 | ||||||||
| ISSN: | 1787-6117 (Online) | ||||||||
| Felhasználó: | Tibor Gál | ||||||||
| Dátum: | 14 Feb 2020 11:57 | ||||||||
| Utolsó módosítás: | 17 Dec 2020 13:57 | ||||||||
| URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/4763 |
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