Results 51 to 60 of about 387,244 (233)
Characterizing algebraic curves with infinitely many integral points
, 2009 A classical theorem of Siegel asserts that the set of S-integral points of an algebraic curve C over a number field is finite unless C has genus 0 and at most two points at infinity. In this paper we give necessary and sufficient conditions for C to have
Bilu, Yuri +2 more
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Gröbner bases over algebraic number fields [PDF]
Proceedings of the 2015 International Workshop on Parallel Symbolic Computation, 2015 Although Buchberger's algorithm, in theory, allows us to compute Gr bner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the ground field. Consider a field $K = \mathbb{Q}( )$, a simple extension of $\mathbb{Q}$, where $ $ is an algebraic number, and let $f \in \mathbb{Q}[t]$ be the minimal ...
Boku, Dereje Kifle +3 more
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The condition number associated with ideal lattices from odd prime degree cyclic number fields
Journal of Mathematical CryptologyThe condition number of a generator matrix of an ideal lattice derived from the ring of integers of an algebraic number field is an important quantity associated with the equivalence between two computational problems in lattice-based cryptography, the ...
de Araujo Robson Ricardo
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Моделирование и анализ информационных систем, 2017 We investigate interrelations between the Tate conjecture for divisors on a fibred variety over a finite field and the Tate conjecture for divisors on the generic scheme fibre under the condition that the generic scheme fibre has zero irregularity. Let \(
Tatyana V. Prokhorova
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Twinlike models with identical linear fluctuation spectra
, 2011 Recently, the possibility of so-called twinlike field theories has been demonstrated, that is, of different field theories which share the same topological defect solution with the same energy density.
A. Vilenkin +6 more
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MIXING FOR PROGRESSIONS IN NONABELIAN GROUPS
Forum of Mathematics, Sigma, 2013 We study the mixing properties of progressions $(x, xg, x{g}^{2} )$ , $(x, xg, x{g}^{2} , x{g}^
TERENCE TAO
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Computational efficiency for the surface renewal method [PDF]
Atmospheric Measurement Techniques, 2018 Measuring surface fluxes using the surface renewal (SR) method requires programmatic algorithms for tabulation, algebraic calculation, and data quality control.
J. Kelley, C. Higgins
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East European Journal of PhysicsThe present objective is to numerically analyze the induced magnetic field (IMF) effect of an unsteady MHD flow of Casson fluid through two infinite vertical plates. The effect of radiative heat has been scrutinized. Governing non-dimensional PDEs of the
Hiren Deka, Parismita Phukan
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A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher
IEEE Access, 2020 In the symmetric key cryptography, the purpose of the substitution box is to generate confusion and hence improve the security of the whole cryptosystem.
Sadam Hussain +3 more
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Cubo, 2010 The product formula of algebraic number theory connects finite and infinite primes in a stringent way, a fact, while not hard to be checked, that has never ceased to be tantalizing.
Wolfgang Rump
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