Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Sam Chow"'
Publikováno v:
Indagationes Mathematicae. 34:190-197
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cd890f28964b3cea2ecb426c8e09558
https://doi.org/10.1016/j.indag.2022.11.002
https://doi.org/10.1016/j.indag.2022.11.002
Autor:
Sam Chow, Rainer Dietmann
Publikováno v:
Transactions of the American Mathematical Society.
How often is a quintic polynomial solvable by radicals? We establish that the number of such polynomials, monic and irreducible with integer coefficients in [ − H , H ] [-H,H] , is O ( H 3.91 ) O(H^{3.91}) . More generally, we show that if n ⩾ 3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dad5e0baeada2aa856982ccc681a98a2
https://doi.org/10.1090/tran/8784
https://doi.org/10.1090/tran/8784
Autor:
Agamemnon Zafeiropoulos, Sam Chow
Publikováno v:
Mathematika. 67:639-646
We establish a strong form of Littlewood's conjecture with inhomogeneous shifts, for a full-dimensional set of pairs of badly approximable numbers on a vertical line. We also prove a uniform assertion of this nature, generalising a strong form of a r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e9e361781c8b2234e3202de1d2e1492
https://doi.org/10.1112/mtk.12095
https://doi.org/10.1112/mtk.12095
Publikováno v:
Mathematics Magazine. 94:118-124
Given an n × n grid of dots, where n > 1, when is it possible to connect all of the dots to give a polygon with n2 sides? One is not allowed to have two consecutive segments be collinear, since tha...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cc859c07a0a9d27c642fd7e899cb4e4
https://doi.org/10.1080/0025570x.2021.1869493
https://doi.org/10.1080/0025570x.2021.1869493
Autor:
Sam Chow, Tom Slattery
We prove an exact formula for OEIS A000119, which counts partitions into distinct Fibonacci numbers. We also establish an exact formula for its mean value, and determine the asymptotic behaviour.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca186bcc07472610e347af7ee9dc7afe
http://arxiv.org/abs/2009.08222
http://arxiv.org/abs/2009.08222
Autor:
Sam Chow
Publikováno v:
Chow, S 2017, ' Birch's theorem with shifts ', Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, vol. XVII, no. 2, pp. 449-483 . https://doi.org/10.2422/2036-2145.201510_008
Let $f_1, ..., f_R$ be rational forms of degree $d \ge 2$ in $n > \sigma + R(R+1)(d-1)2^{d-1}$ variables, where $\sigma$ is the dimension of the affine variety cut out by the condition $\mathrm{rank}(\nabla f_k)_{k=1}^R < R$. Assume that $\mathbf{f}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f2ce800edcbc0d562a0b99ca0973f7f
https://doi.org/10.2422/2036-2145.201510_008
https://doi.org/10.2422/2036-2145.201510_008
Autor:
Sam Chow, Niclas Technau
Gallagher's theorem is a sharpening and extension of the Littlewood conjecture that holds for almost all tuples of real numbers. We provide a fibre refinement, solving a problem posed by Beresnevich, Haynes and Velani in 2015. Hitherto, this was only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7210094b18a32974e283dd849ff7ed4b
http://wrap.warwick.ac.uk/125491/7/WRAP-Higher-rank-Bohr-multiplicative-diophantine-Chow-2019.pdf
http://wrap.warwick.ac.uk/125491/7/WRAP-Higher-rank-Bohr-multiplicative-diophantine-Chow-2019.pdf
Autor:
Sam, Chow Chun, Osman, Rozana Aina Maulat, Idris, Mohd Sobri, Wahab, Yasmin Abdul, Razak, Rafiza Abd, Abdullah, Mohd Mustafa Al Bakri, Rahim, Shayfull Zamree Abd, Tahir, Muhammad Faheem Mohd, Mortar, Nurul Aida Mohd, Jamaludin, Liyana
Publikováno v:
AIP Conference Proceedings; 2020, Vol. 2347 Issue 1, p1-4, 4p
Publikováno v:
Annali della Scuola Normale Superiore di Pisa. Classe di Scienze
We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transference inequality for lattices, due to Bugeaud and Laurent, to a weighted setting. We also provide applications to inhomogeneous Diophantine approximatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be50a943cbe7e0a0905e2ae259a8ee9b
http://arxiv.org/abs/1808.07184
http://arxiv.org/abs/1808.07184