On monogenity of certain pure number fields defined by \(x^{20}-m\)
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Publication:2107677
DOI10.1007/s40863-021-00254-zzbMath1499.11317OpenAlexW3184812933WikidataQ121628177 ScholiaQ121628177MaRDI QIDQ2107677
Publication date: 2 December 2022
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-021-00254-z
Other number fields (11R21) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)
Related Items (2)
On power integral bases of certain pure number fields defined by $x^{84}-m$ ⋮ On monogenity of certain pure number fields defined by \(x^{2^r\cdot 5^s\cdot 7^t}-m\)
Cites Work
- Integral bases and monogenity of pure fields
- On a theorem of Ore
- On a problem of Hasse for certain imaginary Abelian fields
- On certain pure sextic fields related to a problem of Hasse
- Binomial Thue equations and power integral bases in pure quartic fields
- On the indices of multiquadratic number fields
- NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
- Power integral bases for certain pure sextic fields
- Power Integral Bases in Orders of Composite Fields
- On power integral bases for certain pure number fields
- On Newton polygons techniques and factorization of polynomials over Henselian fields
- On Power Integral Bases for Certain Pure Number Fields Defined by x 36 − m
- Diophantine Equations and Power Integral Bases
- Newton polygons of higher order in algebraic number theory
- Computation of a power integral basis of a pure cubic number field
- On power integral bases for certain pure number fields defined by x24 – m
- On power integral bases for certain pure number fields defined by $x^{18}-m$
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