Results 1 to 10 of about 10,835,395 (273)
Rooting out letters: octagonal symbol alphabets and algebraic number theory [PDF]
Journal of High Energy Physics, 2020 It is widely expected that NMHV amplitudes in planar, maximally supersymmetric Yang-Mills theory require symbol letters that are not rationally expressible in terms of momentum-twistor (or cluster) variables starting at two loops for eight particles. Re-
Jacob L. Bourjaily +5 more
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A characterization of half-factorial orders in algebraic number fields [PDF]
arXiv, 2023 We give an algebraic characterization of half-factorial orders in algebraic number fields. This generalizes prior results for seminormal orders and for orders in quadratic number fields.
Balint Rago
arxiv +2 more sources
Splitting full matrix algebras over algebraic number fields [PDF]
arXiv.org, 2011 Let K be an algebraic number field of degree d and discriminant D over Q. Let A be an associative algebra over K given by structure constants such that A is isomorphic to the algebra M_n(K) of n by n matrices over K for some positive integer n.
Acciaro +43 more
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On the algebraic numbers computable by some generalized Ehrenfest urns [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white balls from which at every time unit a fixed number of balls are drawn and ...
Marie Albenque, Lucas Gerin
doaj +9 more sources
Experimental Mathematics, 2021 We study the geometry of algebraic numbers in the complex plane, and their Diophantine approximation, aided by extensive computer visualization. Motivated by these images, called algebraic starscapes, we describe the geometry of the map from the ...
Harriss, Edmund +2 more
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Algorithms in algebraic number theory [PDF]
Bulletin of the American Mathematical Society, 1992 In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has been done and,
Lenstra Jr., Hendrik W.
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Inequalities for ideal bases in algebraic number fields [PDF]
Journal of the Australian Mathematical Society, 1964 In a paper of nearly thirty years ago (Mahler 1937) I first studied approximation properties of algebraic number fields relative to their full system of inequivalent valuations.
K. Mahler
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Factoring Polynomials Over Algebraic Number Fields [PDF]
TOMS, 1976 A method for factoring polynomials whose coefficients are in an algebraic number field is presented. This method is a natural extension of the usual Henselian technique for factoring polynomials with integral coefficients.
P. Weinberger, Linda Preiss Rothschild
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On the Goldbach problem in an algebraic number field I. [PDF]
, 1960 The famous but yet unsolved problem of Goldbach is to decide whether the following conjecture is true: every even positive rational integer except 2 and 4 will be represented as the sum of two odd prime numbers.
Takayoshi Mitsui
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On the adele rings of algebraic number fields [PDF]
, 1976 Let Q be the rational number field, Q the algebraic closure of Q and k (kaQ) an algebraic number field of finite degree. Let ζk(s) be the Dedekind zeta-function of k, kA the adele ring of k and Gk the Galois group of Q/k with Krull topology.
Keiichi Komatsu
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