Results 1 to 10 of about 600,804 (334)
Remarks on the approximation to an algebraic number by algebraic numbers. [PDF]
Michigan Mathematical Journal, 1986 Die Verff. wenden eine in zwei früheren Arbeiten [vgl. \textit{E. Bombieri}, Acta Math. 148, 255-296 (1982; Zbl 0505.10015) und Verff., J. Reine Angew. Math. 342, 173-196 (1983; Zbl 0516.10024)] entwickelte Methode an, um eine algebraische Zahl durch algebraische Zahlen aus einem passenden reellen algebraischen Zahlkörper effektiv abzuschätzen.
Bombieri, E., Mueller, J.
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Journal of AlgebraIn this paper, we propose a new algebraic winding number and prove that it computes the number of complex roots of a polynomial in a rectangle, including roots on edges or vertices with appropriate counting. The definition makes sense for the algebraic closure C = R[i] of a real closed field R, and the root counting result also holds in this case.
Perrucci, Daniel, Roy, Marie-Françoise
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An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition
International Journal of Mathematics and Mathematical Sciences, 2012 A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN(m,r;n,t;Δ) is defined as the maximum finite number of the ...
Feng-Gong Lang, Xiao-Ping Xu
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On two notions of complexity of algebraic numbers
, 2007 we derive new, improved lower bounds for the block complexity of an irrational algebraic number and for the number of digit changes in the b-ary expansion of an irrational algebraic number.
Bugeaud, Yann, Evertse, Jan-Hendrik
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Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two [PDF]
Épijournal de Géométrie Algébrique, 2019 We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but ...
Matthias Schütt
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Linear and algebraic independence of Generalized Euler-Briggs constants
, 2016 Possible transcendental nature of Euler's constant $\gamma$ has been the focus of study for sometime now. One possible approach is to consider $\gamma$ not in isolation, but as an element of the infinite family of generalised Euler-Briggs constants. In a
Gun, Sanoli +2 more
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AIP Advances, 2021 An improved peak-selection algorithm is proposed for mesh deformation. With the use of the newly derived block-based recurrence Cholesky (BRC) decomposition scheme, the computational complexity for solving the linear algebraic system in the data reducing
Jing Liu +4 more
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Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Algebraic Linear Analysis for Number Theoretic Transform in Lattice-Based Cryptography
Transactions on Cryptographic Hardware and Embedded SystemsThe topic of verifying postquantum cryptographic software has never been more pressing than today between the new NIST postquantum cryptosystem standards being finalized and various countries issuing directives to switch to postquantum or at least ...
Chun-Ming Chiu +5 more
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Entanglement transitions in random definite particle states
, 2011 Entanglement within qubits are studied for the subspace of definite particle states or definite number of up spins. A transition from an algebraic decay of entanglement within two qubits with the total number $N$ of qubits, to an exponential one when the
Arul Lakshminarayan +5 more
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