``Geometry of numbers in a context of algebraic theory of numbers

DOI10.3103/S1066369X16100133zbMath1369.15002OpenAlexW2527419376WikidataQ114039205 ScholiaQ114039205MaRDI QIDQ2364412

Zh. N. Temirgaliyeva, Nurlan Temirgaliyev

Publication date: 19 July 2017

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x16100133

zbMATH Keywords

latticepackingstar bodygeometry of numbersbodyHermite's constantEuler-Fermat theoremcritical determinants and latticesdivisors theoryKummer's theory of divisibilitylattice packing of setspacking latticepermissible latticeray function

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Approximate quadratures (41A55) Geometry of numbers (11H99) Matrices, determinants in number theory (11C20)

Cites Work

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• Quadrature formulas associated with divisors of the field of Gaussian numbers
• General algorithm for the numerical integration of periodic functions of several variables
• Rapid ``algebraic Fourier transforms on uniformly distributed meshes
• General algorithm for the numerical integration of functions of several variables
• Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas
• APPLICATION OF DIVISOR THEORY TO THE NUMERICAL INTEGRATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES
• The construction of quadrature formulae

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