Results 21 to 30 of about 11,325,403 (303)
Ramification in quartic cyclic number fields $K$ generated by $x^4+px^2+p$ [PDF]
Mathematica Bohemica, 2021 If $K$ is the splitting field of the polynomial $f(x)=x^4+px^2+p$ and $p$ is a rational prime of the form $4+n^2$, we give appropriate generators of $K$ to obtain the explicit factorization of the ideal $q{\mathcal O}_K$, where $q$ is a positive rational
Julio Pérez-Hernández +1 more
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ON FIELD THEORIES WITH AN INFINITE NUMBER OF FIELDS [PDF]
International Journal of Modern Physics A, 1998 A toy model with an infinite number of interacting fermions in four-dimensional space–time is analyzed. We find that the model is finite at any order in perturbation theory. However, perturbation theory is valid only for external momenta smaller than [Formula: see text], where λ is the coupling constant.
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The Class Number of the Cyclotomic Field [PDF]
Proceedings of the National Academy of Sciences, 1949 Let g denote an odd prime, and h = h(g) the class number of the cyclotomic field R(), where is a primitive gth root of unity. It is known that we can write
Ankeny, Nesmith C., Chowla, Sarvadaman
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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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On factor refinement in number fields [PDF]
Mathematics of Computation, 1999 Let O \mathcal O be an order of an algebraic number field.
Buchmann, Johannes +1 more
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Preprint: Machine-learning number fields
, 2020 We show that standard machine-learning algorithms may be trained to predict certain invariants of algebraic number fields to high accuracy. A random-forest classifier that is trained on finitely many Dedekind zeta coefficients is able to distinguish ...
Oliver, T., He, Y.-H., Lee, K.-H.
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Journal de théorie des nombres de Bordeaux, 2017 Let K be a number field, A be its ring of integers and p be a prime number.
Ayad, Mohamed +2 more
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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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Bipowers in Number Fields [PDF]
Proceedings of the American Mathematical Society, 1985 The set of all solutions to the Fermat equation is given a structure. This structure is then characterized up to isomorphism in terms of certain subsets of the integers modulo a prime.
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