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- Martin Widmer
- 2009

We consider the set of points in projective n-space that generate an extension of degree e over given number field k, and deduce an asymptotic formula for the number of such points of absolute heightâ€¦ (More)

- Martin Widmer
- 2009

Let k be a number field and K a finite extension of k. We count points of bounded height in projective space over the field K generating the extension K/k. As the height gets large we deriveâ€¦ (More)

- Rosemarie Freaney, Anthony McShane, +14 authors ModelsP. P. Smyth
- Annals of clinical biochemistry
- 1997

A prototype miniaturized Total Chemical Analysis System (muTAS) has been developed and applied to on-line monitoring of glucose and lactate in the core blood of anaesthetized dogs. The systemâ€¦ (More)

- Martin Widmer
- 2010

A well known principle says that the number of lattice points in a bounded subsets S of Euclidean space is about the ratio of the volume and the lattice determinant, subject to some relatively mildâ€¦ (More)

- Martin Widmer
- 2009

A set of algebraic numbers has the Northcott property if each of its subsets of bounded Weil height is finite. Northcottâ€™s Theorem, which has many Diophantine applications, states that sets ofâ€¦ (More)

- Martin Widmer
- 2015

By Northcottâ€™s Theorem there are only finitely many algebraic points in affine n-space of fixed degree e over a given number field and of height at most X. Finding the asymptotics for theseâ€¦ (More)

- Sara Checcoli, Martin Widmer
- 2012

We prove that if K/Q is a Galois extension of finite exponent and K is the compositum of all extensions of K of degree at most d, then K has the Bogomolov property and the maximal abelianâ€¦ (More)

Let k be a finite algebraic extension of the field of rational functions in one indeterminate over a finite field and let k denote an algebraic closure of k. We count points in projective spaceâ€¦ (More)

- Martin Widmer
- 2009

We count points of fixed degree and bounded height on a linear projective variety defined over a number field k. If the dimension of the variety is large enough compared to the degree we deriveâ€¦ (More)

- Martin Widmer
- 2013

Let Î› be a lattice in Rn, and let Z âŠ† Rm+n be a definable family in an o-minimal structure over R. We give sharp estimates for the number of lattice points in the fibers ZT = {x âˆˆ Rn : (T, x) âˆˆ Z}.â€¦ (More)