Thue equations that simultaneously fail the Hasse principle
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Abstract We refine a previous construction by Akhtari and Bhargava so that, for every positive integer m, we obtain a positive proportion of Thue equations F(x, y) = h that fail the integral Hasse principle simultaneously for every positive integer h less than m. The binary forms F have fixed degree ≥ 3 and are ordered by the absolute value of the maximum of the coefficients.
2008 ◽
Vol 04
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pp. 117-120
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1977 ◽
Vol 32
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pp. 908-912
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1995 ◽
Vol 28
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pp. 2847-2862
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1952 ◽
Vol 213
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pp. 408-424
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1996 ◽
Vol 35
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pp. 830-838
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