Binomial Thue equations and power integral bases in pure quartic fields
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Publication:2875390
zbMath1295.11120arXiv1810.00063MaRDI QIDQ2875390
Publication date: 14 August 2014
Full work available at URL: https://arxiv.org/abs/1810.00063
Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50) Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25)
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On monogenity of certain pure number fields defined by $$x^{{2}^{u}.3^{v}} - m$$ ⋮ On power integral bases of certain pure number fields defined by $x^{3^r\cdot 7^s}-m$ ⋮ On power integral bases of certain pure number fields defined by $x^{84}-m$ ⋮ On monogenity of certain pure number fields defined by \(x^{2^r\cdot 5^s\cdot 7^t}-m\) ⋮ On monogenity of certain pure number fields defined by $x^{2^r\cdot7^s}-m$ ⋮ On monogenity of certain pure number fields defined by \(x^{60} - m\) ⋮ Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9 ⋮ Two families of monogenic $S_4$ quartic number fields ⋮ On power integral bases for certain pure number fields defined by x2r.5s−m ⋮ On monogenity of certain pure number fields defined by xpr − m ⋮ Integral bases and monogenity of pure fields ⋮ The monogeneity of radical extensions ⋮ On monogenity of certain pure number fields defined by \(x^{20}-m\) ⋮ On power integral bases for certain pure number fields defined by $x^{2\cdot 3^k}-m$
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