Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Alexander S. Rybakov"'
Autor:
Alexander S. Rybakov
Publikováno v:
Discrete Mathematics and Applications. 32:341-358
In 1988, Friese et al. put forward lower estimates for the lengths of shortest nonzero vectors for “almost all” lattices of some families in the dimension 3. In 2004, the author of the present paper obtained a similar result for the dimension 4.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e8678ddf1d63d95b2f4dea4fcd4aba3
https://doi.org/10.1515/dma-2022-0028
https://doi.org/10.1515/dma-2022-0028
Autor:
Alexander S. Rybakov
Publikováno v:
Discrete Mathematics and Applications. 32:207-218
In 1988, Friese et al. put forward lower estimates for the lengths of shortest nonzero vectors for “almost all” lattices of some families in the dimension 3. In 2004, the author of the present paper obtained a similar result for the dimension 4.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3e8d410677dd2824190c385158a9843
https://doi.org/10.1515/dma-2022-0018
https://doi.org/10.1515/dma-2022-0018
Autor:
Alexander S. Rybakov
Publikováno v:
Discrete Mathematics and Applications. 28:385-395
We provide a new upper estimate for the modulus of the difference |Λ ∩ 𝓢| − voln(𝓢)/det Λ, where 𝓢 ⊂ ℝn is a set of volume voln(𝓢) and Λ ⊂ ℝn is a complete lattice with determinant det Λ. This result has an important pract
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc5cb2aa2a1edb3bf6415071da2a65b1
https://doi.org/10.1515/dma-2018-0034
https://doi.org/10.1515/dma-2018-0034
Autor:
Alexander S. Rybakov
Publikováno v:
Discrete Mathematics and Applications. 24
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8130738405437cdd02904c622946955
https://doi.org/10.1515/dma-2014-0017
https://doi.org/10.1515/dma-2014-0017