On certain pure sextic fields related to a problem of Hasse
From MaRDI portal
Publication:2814685
DOI10.1142/S0218196716500259zbMath1404.11124MaRDI QIDQ2814685
Abdul Hameed Nayyar, Toru Nakahara, Shahzad Ahmad
Publication date: 22 June 2016
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Related Items (35)
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 \(x^{42}-m\) ⋮ On non-monogenity of the number fields defined by certain quadrinomials ⋮ Non-monogenity of certain octic number fields defined by trinomials ⋮ Nonmonogenity of number fields defined by trinomials ⋮ On necessary and sufficient conditions for the monogeneity of a certain class of polynomials ⋮ On monogenity of certain number fields defined by \(x^8+ax+b\) ⋮ Infinite families of monogenic trinomials and their Galois groups ⋮ Monogenic binomial compositions ⋮ On power integral bases of certain pure number fields defined by $x^{3^r\cdot 7^s}-m$ ⋮ On nonmonogenic number fields defined by ⋮ On power integral bases of certain pure number fields defined by $x^{84}-m$ ⋮ On monogenity of certain pure number fields defined by \(x^{2^r\cdot 5^s\cdot 7^t}-m\) ⋮ A note on non-monogenity of number fields arised from sextic trinomials ⋮ On monogenity of certain pure number fields defined by $x^{2^r\cdot7^s}-m$ ⋮ On nonmonogenic algebraic number fields ⋮ On monogenity of certain pure number fields defined by \(x^{60} - m\) ⋮ On index and monogenity of certain number fields defined by trinomials ⋮ Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9 ⋮ Non-monogenity of some number fields generated by binomials or trinomials of prime-power degree ⋮ 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 ⋮ Unnamed Item ⋮ Integral bases and monogenity of pure fields ⋮ On certain octic biquartic fields related to a problem of Hasse ⋮ Monogenic cyclotomic compositions ⋮ On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients ⋮ Infinite families of non-monogenic trinomials ⋮ Monogenic polynomials with non-squarefree discriminant ⋮ The monogeneity of radical extensions ⋮ On monogenity of certain pure number fields defined by \(x^{20}-m\) ⋮ On power integral bases of certain pure number fields defined by \(x^{3^r} - m\) ⋮ Monogenic trinomials with non-squarefree discriminant ⋮ Common index divisor of the number fields defined by ⋮ On power integral bases for certain pure number fields defined by $x^{2\cdot 3^k}-m$
Cites Work
This page was built for publication: On certain pure sextic fields related to a problem of Hasse