Zobrazeno 1 - 3
of 3
pro vyhledávání: '"James Aaronson"'
Autor:
James Aaronson
Publikováno v:
Bulletin of the London Mathematical Society. 51:577-594
Given a linear equation of the form $a_1x_1 + a_2x_2 + a_3x_3 = 0$ with integer coefficients $a_i$, we are interested in maximising the number of solutions to this equation in a set $S \subseteq \mathbb{Z}$, for sets $S$ of a given size. We prove tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9cc91c6c1374f31320a793007609d9d
https://doi.org/10.1112/blms.12253
https://doi.org/10.1112/blms.12253
We show that the Union-Closed Conjecture holds for the union-closed family generated by the cyclic translates of any fixed set.
Comment: 3 pages. Updated references
Comment: 3 pages. Updated references
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::add4b57479b3e55f4d62380716e3aa25
Publikováno v:
Journal of Combinatorial Theory, Series A. 181:105436
A subspace of F 2 n is called cyclically covering if every vector in F 2 n has a cyclic shift which is inside the subspace. Let h 2 ( n ) denote the largest possible codimension of a cyclically covering subspace of F 2 n . We show that h 2 ( p ) = 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf52856fef3c989751a5e542b257e053
https://doi.org/10.1016/j.jcta.2021.105436
https://doi.org/10.1016/j.jcta.2021.105436