Results 11 to 20 of about 11,942 (260)
Character Sums in Algebraic Number Fields [PDF]
Journal of Number Theory, 1994 Let \(K\) be an algebraic number field of degree \([K:\mathbb{Q}]= r_ 1+ 2r_ 2\). Let \(e_ p=1\) for \(p=1,\dots,r_ 1\), \(e_ p=2\) for \(p= r_ 1+1,\dots, r+1= r_ 1+r_ 2\). Put \(X= \prod_{p=1}^{r+1} x_ p^{e_ p}\), where \(x=(x_ 1,\dots, x_{r+1})\) is a vector of positive real numbers.
Rausch, U.
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A note on class numbers of algebraic number fields [PDF]
Journal of Number Theory, 1969 AbstractIt is proved, by elementary method, that, for a given odd prime number q and a given natural number e, there are infinitely many non-Galois algebraic number fields of degree q over Q, whose class numbers are all divisible by qe.
Ishida, Makoto
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Gauss Congruences in Algebraic Number Fields [PDF]
, 2022 In this miniature note we generalize the classical Gauss congruences for integers to rings of integers in algebraic number ...
Pulikowski, Mateusz, Gładki, Paweł
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Machine-learning number fields [PDF]
, 2022 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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Upper bounds for Euclidean minima of algebraic number fields [PDF]
, 2006 The aim of this paper is to give new upper bounds for Euclidean minima of algebraic number fields. In particular, to show that Minkowski's conjecture holds for the maximal totally real subfields of cyclotomic fields of prime power conductor ...
Bayer Fluckiger, Eva
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Preprint: Machine-learning number fields [PDF]
, 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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Quadratic forms and linear algebraic groups [PDF]
, 2009 Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +3 more
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Computation of the Euclidean minimum of algebraic number fields [PDF]
, 2014 30 pages, shorter version, with many typos fixedInternational audienceWe present an algorithm to compute the Euclidean minimum of an algebraic number field, which is a generalization of the algorithm restricted to the totally real case described by Cerri.
Pierre Lezowski, Lezowski, Pierre
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Heights and multiplicative relations on algebraic varieties [PDF]
, 2007 Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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Algebraic number fields with small class number [PDF]
, 2022 Algebraična teorija števil s konstrukcijo končne razredne grupe pove, v kakšni meri enolična faktorizacija v algebraičnih številskih poljih ne drži. Za nekatere izmed njih je značilna enolična dolžina faktorizacij posameznega elementa.Algebraic number ...
Ibrahimpašić, Hana
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