Results 21 to 30 of about 4,819,757 (284)
Norms in finite galois extensions of the rationals
International Journal of Mathematics and Mathematical Sciences, 1990 We show that under certain conditions a rational number is a norm in a given finite Galois extension of the rationals if and only if this number is a local norm at a certain finite number of places in a certain finite abelian extension of the rationals.
Hans Opolka
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On dynamical systems induced by p-adic number fields [PDF]
Opuscula Mathematica, 2015 In this paper, we construct dynamical systems induced by \(p\)-adic number fields \(\mathbb{Q}_{p}\). We study the corresponding crossed product operator algebras induced by such dynamical systems.
Ilwoo Cho
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Hurwitz Monodromy and Full Number Fields [PDF]
, 2014 We give conditions for the monodromy group of a Hurwitz space over the configuration space of branch points to be the full alternating or symmetric group on the degree.
Roberts, David P., Venkatesh, Akshay
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Mathematics, 2021 In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function τ, and the generalized function τ in algebraic number fields.
Nicuşor Minculete, Diana Savin
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BETTI NUMBERS OF GAUSSIAN FIELDS [PDF]
Journal of The Korean Astronomical Society, 2013 We present the relation between the genus in cosmology and the Betti numbers for excursion sets of three- and two-dimensional smooth Gaussian random fields, and numerically investigate the Betti numbers as a function of threshold level. Betti numbers are topological invariants of figures that can be used to distinguish topological spaces.
Park, Changbom +8 more
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Essential dimension of abelian varieties over number fields [PDF]
, 2008 We affirmatively answer a conjecture in the preprint ``Essential dimension and algebraic stacks,'' proving that the essential dimension of an abelian variety over a number field is infinite.Comment: 4 pages. To appear in C. R. Math. Acad. Sci.
Berhuy +9 more
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Twisters and signed fundamental domains for number fields [PDF]
, 2019 We give a signed fundamental domain for the action on $\mathbb{R}^{r_1}_+\times{\mathbb{C}^*}^{r_2}$ of the totally positive units $E_+$ of a number field $k$ of degree $n=r_1+2r_2$ which we assume is not totally complex.
Espinoza, Milton, Friedman, Eduardo
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Parallel machine arithmetic for recurrent number systems in non-quadratic fields [PDF]
Компьютерная оптика, 2020 The paper proposes a new method of synthesis of computer arithmetic systems for "error-free" parallel calculations. The difference between the proposed approach and calculations in traditional systems of Residue Number Systems for the direct sum of ...
Vladimir Chernov
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A database of number fields [PDF]
, 2014 We describe an online database of number fields which accompanies this paper The database centers on complete lists of number fields with prescribed invariants.
Jones, John W., Roberts, David P.
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The Hecke Group Hλ4 Acting on Imaginary Quadratic Number Fields
Journal of Mathematics, 2021 Let Hλ4 be the Hecke group x,y:x2=y4=1 and, for a square-free positive integer n, consider the subset ℚ∗−n=a+−n/c|a,b=a2+n/c∈ℤ, c∈2ℤ of the quadratic imaginary number field ℚ−n.
Abdulaziz Deajim
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