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The following pages link to Newton polygons and $p$-integral bases of quartic number fields (Q2909803):

Displaying 47 items.

Discriminants of Chebyshev radical extensions (Q262613) (← links)
Higher Newton polygons and integral bases (Q472859) (← links)
On the index theorem of Ore (Q527713) (← links)
On power integral bases of certain pure number fields defined by $x^{42}-m$ (Q825128) (← links)
Discriminants of simplest $3^n$-tic extensions (Q1744928) (← links)
On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients (Q2043494) (← links)
Factorization of polynomials over valued fields based on graded polynomials (Q2057851) (← links)
On monogenity of certain pure number fields defined by $x^{20}-m$ (Q2107677) (← links)
On power integral bases of certain pure number fields defined by $x^{3^r} - m$ (Q2107679) (← links)
On monogenity of certain number fields defined by trinomials (Q2108517) (← links)
On monogenity of certain number fields defined by $x^8+ax+b$ (Q2151123) (← links)
Monogenic fields arising from trinomials (Q2163057) (← links)
A generalization of a theorem of Ore (Q2436711) (← links)
On non monogenity of certain number fields defined by trinomials $x^6 + ax^3 + b$ (Q2672018) (← links)
Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9 (Q2689391) (← links)
The index of a quartic field defined by a trinomial X4 + aX + b (Q4561488) (← links)
Two families of monogenic $S_4$ quartic number fields (Q4614194) (← links)
Prime ideal factorization in a number field via Newton polygons (Q4994522) (← links)
On power integral bases for certain pure number fields defined by $x^{2\cdot 3^k}-m$ (Q5030082) (← links)
On common index divisors and monogenity of certain number fields defined by x5 + ax2 + b (Q5080191) (← links)
On power integral bases of certain pure number fields defined by $x^{3^r\cdot 7^s}-m$ (Q5090260) (← links)
On power integral bases for certain pure number fields defined by x2r.5s−m (Q5156118) (← links)
On monogenity of certain pure number fields defined by xpr − m (Q5157560) (← links)
On monogenity of certain pure number fields defined by $$x^{{2}^{u}.3^{v}} - m$$ (Q5885562) (← links)
On index divisors and monogenity of certain septic number fields defined by x7 + ax3 + b (Q5887158) (← links)
Proof of Chapoton's conjecture on Newton polygons of $q$-Ehrhart polynomials (Q5925183) (← links)
On power integral bases of certain pure number fields defined by $x^{84}-m$ (Q6070552) (← links)
A note on monogenity of certain pure number fields defined by $x^{p^r} - a$ with non-square-free parameter (Q6098043) (← links)
On monogenity of certain pure number fields defined by $x^{2^r\cdot 5^s\cdot 7^t}-m$ (Q6107465) (← links)
On nonmonogenic number fields defined by trinomials of type $x^n +ax^m+b$ (Q6134902) (← links)
On index divisors and monogenity of certain number fields defined by $x^{12}+ax^m+b$ (Q6144578) (← links)
On monogenity of certain pure number fields defined by $x^{2^r\cdot7^s}-m$ (Q6154731) (← links)
On index divisors and non-monogenity of certain quintic number fields defined by x5 + axm + bx + c (Q6157677) (← links)
On monogenity of certain pure number fields defined by $x^{60} - m$ (Q6173993) (← links)
On index and monogenity of certain number fields defined by trinomials (Q6175358) (← links)
On power integral bases for certain pure sextic fields (Q6189624) (← links)
On the index of certain nonic number fields defined by $x^9+ax^5+b$ (Q6576982) (← links)
On the monogeneity of a certain class of number fields (Q6583099) (← links)
On monogenity of certain pure number fields of degrees $2^r\cdot 3^k\cdot 7^s$. (Q6584460) (← links)
On common index divisors and monogenity of certain number fields defined by $x^5+ax+b$ (Q6596828) (← links)
On power integral bases of certain pure number fields defined by $x^{120}-m $ (Q6596890) (← links)
On monogenity of certain number fields defined by a trinomial $x^{p^r}+ax+b$ (Q6610528) (← links)
An infinite families of number fields with fixed indices arising from quintinomials of type $x^n+ax^m+bx^2+cx+d$ (Q6635599) (← links)
An infinite family of number fields with given indices (Q6649188) (← links)
On index divisors and monogenity of certain octic number fields defined by $x^8 + ax^3 + b$ (Q6654871) (← links)
On indices of quintic number fields defined by $x^5+ax+b$ (Q6660466) (← links)
On index divisors and monogenity of certain sextic number fields defined by $x^6 +ax^5 +b$ (Q6672010) (← links)