On Fixed Divisors of Forms in Many Variables, I
- Autores: Andrzej Schinzel
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 114, Nº 2, 2014, págs. 161-184
- Idioma: inglés
- DOI: 10.7146/math.scand.a-17104
- Enlaces
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Resumen
Let $D_{d,r}$ be the maximal fixed divisor of a primitive form of degree $d$ in $r$ variables over $\mathsf{Z}$. A formula is given for $D_{d,2}$ and estimates for $D_{d,r}$ for $r>2$. As a consequence, a question of Nagell raised in 1919 is completely answered.
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