Squares in arithmetic progression over cubic fields (Q2810683)
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scientific article; zbMATH DE number 6589285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Squares in arithmetic progression over cubic fields |
scientific article; zbMATH DE number 6589285 |
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Squares in arithmetic progression over cubic fields (English)
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3 June 2016
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arithmetic progressions
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squares
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cubic fields
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curves
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Jacobians
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Mordell-Weil
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In the paper, it is proved that there are no cubic number fields which contain five squares in an arithmetic progression. This research continues the results of L. Euler and X. Xarles, who studied the cases for three, five and six squares in an arithmetic progression.
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