Results 261 to 270 of about 28,455,638 (326)

AutoDock Vina 1.2.0: New Docking Methods, Expanded Force Field, and Python Bindings

Journal of Chemical Information and Modeling, 2021
AutoDock Vina is arguably one of the fastest and most widely used open-source programs for molecular docking. However, compared to other programs in the AutoDock Suite, it lacks support for modeling specific features such as macrocycles or explicit water
Jérôme Eberhardt, Diogo Santos-Martins, A. Tillack, Stefano Forli   +3 more
semanticscholar   +1 more source

The number fields that are $${O}^{*}$$-fields

Algebra universalis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Analogies Between Function Fields and Number Fields

American Journal of Mathematics, 1983
Whereas Iwasawa's theory of p-cyclotomic extensions was inspired by Weil's theory of the characteristic polynomial of the Frobenius endomorphism of a function field over a finite field of constants, the authors of the present paper in turn take Iwasawa's theory as a sample for an analogous theory in the setting of function fields resp.
Mazur, B., Wiles, A.
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Realizing Algebraic Number Fields

1983
In the paper [13], the authors studied the problem of realizing rational division algebras in a special way. Let D be a division algebra that is finite dimensional over the rational field Q. If p is a prime, we say that D is p-realizable when there is a p-local torsion free abelian group A whose rank is the dimension of D over Q, such that D is ...
R. S. Pierce, C. I. Vinsonhaler
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Nonlinear number fields

Boletín de la Sociedad Matemática Mexicana, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gendron, T. M., Verjovsky, A.
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Number Fields and Number Rings

1977
A number field is a subfield of ℂ having finite degree (dimension as a vector space) over ℚ. We know (see appendix 2) that every such field has the form ℚ[α] for some algebraic number α ∈ ℂ. If α is a root of an irreducible polynomial over ℚ, having degree n, then $$\mathbb{Q}[\alpha ] = \left\{ {{a_o} + {a_1}\alpha + \cdots + {a_{n - 1}}{\alpha ...
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Algebraic Number Theory and Fermat's Last Theorem

Algebraic Methods Algebraic Background Rings and Fields Factorization of Polynomials Field Extensions Symmetric Polynomials Modules Free Abelian Groups Algebraic Numbers Algebraic Numbers Conjugates and Discriminants Algebraic Integers Integral Bases ...
I. Stewart, D. Tall
semanticscholar   +1 more source

Number Field Sieve

Encyclopedia of Cryptography and Security, 2011
D. Naccache, Mike Just, B. Preneel, A. Keromytis, Xiaowei Yang, M. Vauclair, N. Sendrier, D. Hankerson, Alfred Menezes, Donggang Liu, Berry Schoenmakers, Caroline Fontaine, C. Carlet, Cynthia Dwork, Gerrit Bleumer, William Whyte, Jeffrey Hoffstein, Burt Kaliski, Alexander Kruppa, Paul C. Leyland, A. Joux, R. Lercier, Scott Contini, Kazue Sako   +23 more
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Discriminants of Number Fields

Jahresbericht der Deutschen Mathematiker-Vereinigung
This paper offers a nice overview on recent research on discriminants of algebraic number fields, especially on lower bounds for the root discriminant. Using (infinite) class field towers, one obtains number fields with small root discriminants. Such fields are needed for lattice-based cryptography, which is important for post-quantum cryptography. The
openaire   +1 more source