An infinite families of number fields with fixed indices arising from quintinomials of type \(x^n+ax^m+bx^2+cx+d\)
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Publication:6635599
Publication date: 12 November 2024
Published in: The New York Journal of Mathematics (Search for Journal in Brave)
Other number fields (11R21) Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04)
Cites Work
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- On the indices and integral bases of non-cyclic but Abelian biquadratic fields
- On the resolution of index form equations in quartic number fields
- The index of a cyclic quartic field
- Newtonsche Polygone in der Theorie der algebraischen Körper.
- Theory of algebraic numbers. Vol. 1
- On the common index divisors of an algebraic field.
- On the indices of biquadratic number fields having Galois group \(V_ 4\)
- Genetics of polynomials over local fields
- On the indices of multiquadratic number fields
- NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
- On the nonessential discriminant divisor of an algebraic number field
- On the Index of a Number Field
- The index of a quartic field defined by a trinomial X4 + aX + b
- Diophantine Equations and Power Integral Bases
- Newton polygons of higher order in algebraic number theory
- On index divisors and monogenity of certain septic number fields defined by x7 + ax3 + b
- On the index divisors and monogenity of number fields defined by x 5 + ax 3 + b
- On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\)
- On index divisors and non-monogenity of certain quintic number fields defined by x5 + axm + bx + c
- On the index of certain nonic number fields defined by \(x^9+ax^5+b\)
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