Campana points and powerful values of norm forms
AbstractWe give an asymptotic formula for the number of weak Campana points of bounded height on a family of orbifolds associated to norm forms for Galois extensions of number fields. From this formula we derive an asymptotic for the number of elements with m-full norm over a given Galois extension of $$\mathbb {Q}$$ Q . We also provide an asymptotic for Campana points on these orbifolds which illustrates the vast difference between the two notions, and we compare this to the Manin-type conjecture of Pieropan, Smeets, Tanimoto and Várilly-Alvarado.
2016 ◽
Vol 27
(03)
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pp. 1650025
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2009 ◽
Vol 08
(04)
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pp. 493-503
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Keyword(s):
2000 ◽
Vol 24
(5)
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pp. 289-294
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1986 ◽
Vol 38
(4)
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pp. 599-605
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1987 ◽
Vol 99
(1)
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pp. 41-41
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1987 ◽
Vol 63
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pp. 27-30
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1982 ◽
Vol 34
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pp. 686-690
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