The Diophantine equation Dx2+22m+1=yn
| Autor: | J. H. E. Cohn |
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| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | Colloquium Mathematicum. 98:147-154 |
| ISSN: | 1730-6302 0010-1354 |
| DOI: | 10.4064/cm98-2-1 |
| Popis: | It is shown that for a given squarefree positive integer D, the equation of the title has no solutions in integers x > 0, m > 0, n 3 and y odd, nor unless D 14 (mod 16) in integers x > 0, m = 0, n 3, y > 0, provided in each case that n does not divide the class number of the imaginary quadratic eld containing p 2D, except for a small number of (stated) exceptions. |
| Databáze: | OpenAIRE |
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