Results 21 to 30 of about 410 (42)
Heights, Regulators and Schinzel's determinant inequality
, 2016 We prove inequalities that compare the size of an S-regulator with a product of heights of multiplicatively independent S-units. Our upper bound for the S-regulator follows from a general upper bound for the determinant of a real matrix proved by ...
Akhtari, Shabnam, Vaaler, Jeffrey D.
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Hasse-Minkowski theorem for quadratic forms on Mordell-Weil type groups
, 2017 In this paper we investigate an analogue of Hasse-Minkowski theorem for quadratic forms on Mordell-Weil type groups over number fields like $S$-units, abelian varieties with trivial ring of endomorphisms and odd algebraic $K$-theory ...
Barańczuk, Stefan
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Unit groups of some multiquadratic number fields and 2-class groups. [PDF]
Period Math Hung, 2022 Chems-Eddin MM.
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On the distribution of multiplicatively dependent vectors
, 2019 In this paper, we study the distribution of multiplicatively dependent vectors. For example, although they have zero Lebesgue measure, they are everywhere dense both in $\R^n$ and $\C^n$.
Sha, Min +2 more
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Geometry of integers revisited
, 2019 We study geometry of the ring of algebraic integers $O_K$ of a number field $K$. Namely, it is proved that the inclusion $\mathbf{Z}\subset O_K$ defines a covering of the Riemann sphere $\mathbf{C}P^1$ ramified over three points $\{0,1,\infty\}$.
Nikolaev, Igor
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Clinical Performance and Safety of 108 SpineJack Implantations: 1-Year Results of a Prospective Multicentre Single-Arm Registry Study. [PDF]
Biomed Res Int, 2015 Noriega D +14 more
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Multiplicative dependence of shifted algebraic numbers
, 2003 Paulius Drungilas, A. Dubickas
semanticscholar +1 more source
Erratum: The Lehmer Polynomial and Pretzel Links
Canadian mathematical bulletin, 2002 E. Hironaka
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On a weighted sum of distances from a well distributed set of points
, 2011 A. Dubickas
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Realisable classes, Stickelberger subgroup and its behaviour under change of the base field
, 2015 Andrea Siviero
semanticscholar +1 more source