Results 1 to 10 of about 260 (29)
Compressed lattice sums arising from the Poisson equation
Boundary Value Problems, 2013 PACS Codes:02.30.Lt, 02.30.Mv, 02.30.Nw, 41.20.Cv.MSC:06B99, 35J05, 11Y40.PurposeIn recent years attention has been directed to the problem of solving the Poisson equation, either in engineering scenarios (computational) or in regard to crystal structure
D. Bailey, J. Borwein
semanticscholar +2 more sources
A computational study of the asymptotic behaviour of coefficient fields of modular forms [PDF]
, 2009 The article motivates, presents and describes large computer calculations concerning the asymptotic behaviour of arithmetic properties of coefficient fiel ds of modular forms. The observations suggest certain patterns, which deserve further study.
Marcel Mohyla, G. Wiese
semanticscholar +1 more source
The Eleventh Power Residue Symbol
Journal of Mathematical Cryptology, 2020 This paper presents an efficient algorithm for computing 11th-power residue symbols in the cyclo-tomic field ℚ(ζ11),$ \mathbb{Q}\left( {{\zeta }_{11}} \right), $where 11 is a primitive 11th root of unity.
Joye Marc +3 more
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The Geometry of the Minimal Resultant Locus [PDF]
, 2014 Let K be a complete, algebraically closed nonarchimedean valued field, and let φ(z) ∈ K(z) have degree d ≥ 2. We show there is a natural way to assign nonnegative integer weights wφ(P ) to points of the Berkovich projective line over K in such a way that
R. Rumely
semanticscholar +1 more source
Notes on the Quadratic Integers and Real Quadratic Number Fields [PDF]
, 2015 It is shown that when a real quadratic integer $\xi$ of fixed norm $\mu$ is considered, the fundamental unit $\varepsilon_d$ of the field $\mathbb{Q}(\xi) = \mathbb{Q}(\sqrt{d})$ satisfies $\log \varepsilon_d \gg (\log d)^2$ almost always.
Park, Jeongho
core +2 more sources
On Dedekind′s criterion and monogenicity over Dedekind rings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 71, Page 4455-4464, 2003., 2003 We give a practical criterion characterizing the monogenicity of the integral closure of a Dedekind ring R, based on results on the resultant Res (p, pi) of the minimal polynomial p of a primitive integral element and of its irreducible factors pi modulo prime ideals of R.
M. E. Charkani, O. Lahlou
wiley +1 more source
Constructing elliptic curve isogenies in quantum subexponential time
Journal of Mathematical Cryptology, 2014 Given two ordinary elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit a nonzero isogeny between them, but finding such an isogeny is believed to be computationally difficult.
Childs Andrew +2 more
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Definite orders with locally free cancellation
Transactions of the London Mathematical Society, 2019 We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modules.
Daniel Smertnig, John Voight
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Class numbers of totally real fields and applications to the Weber class number problem
, 2014 The determination of the class number of totally real fields of large discriminant is known to be a difficult problem. The Minkowski bound is too large to be useful, and the root discriminant of the field can be too large to be treated by Odlyzko's ...
Miller, John C.
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The minimum discriminant of number fields of degree 8 and signature (2,3)
, 2018 In this paper we describe how to use the algorithmic methods provided by Hunter and Pohst in order to give a complete classification of number fields of degree 8 and signature (2,3) with absolute discriminant less than a certain bound. The choice of this
Battistoni, Francesco
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