Results 1 to 10 of about 31,036 (121)
On the Common Index Divisors of a Dihedral Field of Prime Degree [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 A criterion for a prime to be a common index divisor of a dihedral field of prime degree is given. This criterion is used to determine the index of families of dihedral fields of degrees 5 and 7.
Blair K. Spearman +2 more
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On common index divisors and monogenity of septic number fields defined by trinomials of type $x^7+ax^5+b$ [PDF]
Mathematica BohemicaLet $K $ be a septic number field generated by a root $\theta$ of an irreducible polynomial $ F(x)= x^7+ax^5+b \in\mathbb Z[x]$. In this paper, we explicitly characterize the index $i(K)$ of $K$.
Hamid Ben Yakkou
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On Indices of Septic Number Fields Defined by Trinomials x7 + ax + b
Mathematics, 2023 Let K be a septic number field generated by a root, α, of an irreducible trinomial, x7+ax+b∈Z[x]. In this paper, for every prime integer, p, we calculate νp(i(K)); the highest power of p dividing the index, i(K), of the number field, K. In particular, we
Lhoussain El Fadil
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On the Star Chromatic Index of Generalized Petersen Graphs
Discussiones Mathematicae Graph Theory, 2021 The star k-edge-coloring of graph G is a proper edge coloring using k colors such that no path or cycle of length four is bichromatic. The minimum number k for which G admits a star k-edge-coloring is called the star chromatic index of G, denoted by χ′s (
Zhu Enqiang, Shao Zehui
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On common index divisor of the number fields defined by $x^7+ax+b$
, 2023 arXiv admin note: text overlap with arXiv:2011 ...
Jakhar, Anuj +2 more
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Nuttall's theorem with analytic weights on algebraic S-contours [PDF]
, 2014 Given a function $f$ holomorphic at infinity, the $n$-th diagonal Pad\'e approximant to $f$, denoted by $[n/n]_f$, is a rational function of type $(n,n)$ that has the highest order of contact with $f$ at infinity. Nuttall's theorem provides an asymptotic
Yattselev, Maxim L.
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On monogenity of certain pure number fields of degrees $2^r\cdot3^k\cdot7^s$ [PDF]
Mathematica BohemicaLet $K = \mathbb{Q} (\alpha) $ be a pure number field generated by a complex root $\alpha$ of a monic irreducible polynomial $ F(x) = x^{2^r\cdot3^k\cdot7^s} -m \in\bb{Z}[x]$, where $r$, $k$, $s$ are three positive natural integers.
Hamid Ben Yakkou, Jalal Didi
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A reduction of canonical stability index of 4 and 5 dimensional projective varieties with large volume [PDF]
, 2017 We study the canonical stability index of nonsingular projective varieties of general type with either large canonical volume or large geometric genus.
Chen, Meng, Jiang, Zhi
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, 2022 Let $K $ be a nonic number field generated by a complex root $þ$ of a monic irreducible trinomial $ F(x)= x^9+ax+b \in \Z[x]$, where $ab \neq 0$. Let $i(K)$ be the index of $K$. A rational prime $p$ dividing $ i(K)$ is called a prime common index divisor of $K$.
Yakkou, Hamid Ben, Tiebekabe, Pagdame
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Existence of minimal models for varieties of log general type [PDF]
, 2008 We prove that the canonical ring of a smooth projective variety is finitely ...
Birkar, Caucher +3 more
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