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- Martin N. Huxley
- 1993

The area A inside a simple closed curve C can be estimated graphically by drawing a square lattice of sides 1/M. The number of lattice points inside C is approximately AM. If C has continuousâ€¦ (More)

- Martin N. Huxley, Carlos Sanchez-Cano, +4 authors Michael J. Hannon
- Dalton transactions
- 2010

A range of androgen conjugates with non-conventional platinum(II) complexes have been synthesised with the aim of targeting tumour cells since many display elevated levels of the androgen receptor.â€¦ (More)

- Carlos Sanchez-Cano, Martin N. Huxley, +6 authors Michael J. Hannon
- Dalton transactions
- 2010

Previously a range of androgen conjugates with non-conventional platinum(II) complexes have been synthesised with the aim of enhancing cellular delivery, and which have shown increased cytotoxicâ€¦ (More)

- Martin N. Huxley, Jovisa D. Zunic
- Foundations of Computational Mathematics
- 2006

The digitisation D(R, (a, b)) of a real disc D(R, (a, b)) having radius R and centre (a, b) consists of all integer points inside D(R, (a, b)), i.e., D(R, (a, b)) = D(R, (a, b)) âˆ© Z2. In this paperâ€¦ (More)

- Martin N. Huxley, Anatoly A. Zhigljavsky
- Periodica Mathematica Hungarica
- 2001

We derive an asymptotic formula for the number of pairs of consecutive fractions aâ€²/qâ€² and a/q in the Farey sequence of order Q such that a/q, q/Q, and (Q âˆ’ qâ€²)/q) lie each in prescribed subintervalsâ€¦ (More)

- Martin N. Huxley, Jovisa D. Zunic
- IEEE Transactions on Pattern Analysis and Machineâ€¦
- 2007

A digital disc is the set of all integer points inside some given disc. Let D<sub>N</sub> be the number of different digital discs consisting of N points (different up to translation). The upperâ€¦ (More)

When a strictly convex plane set S moves by translation, the set J of points of the integer lattice that lie in S changes. The number K of equivalence classes of sets J under lattice translationsâ€¦ (More)

A simple proof of the classical subconvexity bound Î¶( 1 2 + it) â‰ªÎµ t1/6+Îµ for the Riemann zeta-function is given, and estimation by more refined techniques is discussed. The connections between theâ€¦ (More)

- Martin N. Huxley
- Periodica Mathematica Hungarica
- 2014

Let C be a smooth convex closed plane curve. The C-ovals C(R, u, v) are formed by expanding by a factor R, then translating by (u, v). The number of vertices V (R, u, v) of the convex hull of theâ€¦ (More)

A simple proof of the classical subconvexity bound Î¶( 1 2 + it) â‰ªÎµ t1/6+Îµ for the Riemann zeta-function is given, and estimation by more refined techniques is discussed. The connections between theâ€¦ (More)