2019

• Huxley, M., Lettington, M. and Schmidt, K. M. 2019. On the structure of additive systems of integers. Periodica Mathematica Hungarica 78(2), pp. 178-199. (10.1007/s10998-018-00275-w)
• Lettington, M.et al. 2019. Some properties and applications of non-trivial divisor functions. Ramanujan Journal (10.1007/s11139-018-0093-9)

2018

• Huxley, M. N. 2018. A short account of the values of the zeta function at integers. Functiones et Approximatio Commentarii Mathematici 58(2), pp. 245-256. (10.7169/facm/1701)

2014

• Huxley, M. N. 2014. The tiled circle problem. Mathematika 60(2), pp. 321-346. (10.1112/S0025579313000211)
• Huxley, M. N. 2014. The convex hull of the lattice points inside a curve. Periodica Mathematica Hungarica 68(1), pp. 100-118. (10.1007/s10998-014-0024-5)
• Huxley, M. N. 2014. A fourth power discrepancy mean. Monatshefte für Mathematik 173(2), pp. 231-238. (10.1007/s00605-013-0558-2)

2013

• Huxley, M. N. and Zunic, J. 2013. The number of configurations in lattice point counting II. Proceedings of the London Mathematical Society 107(6), pp. 1331-1352. (10.1112/plms/pdt011)
• Huxley, M. N. 2013. Intersecting lines modulo one. Uniform Distribution Theory 8(2), pp. 1-28.

2012

• Huxley, M. N. 2012. Identities involving Farey fractions. Proceedings of the Steklov Institute of Mathematics 276(1), pp. 125-139. (10.1134/S0081543812010105)
• Huxley, M. N. 2012. Orthogonal functions with teeth. Chebyshevskii Sbornik

2011

• Huxley, M. N. 2011. A compactness lemma for convex plane sets. Eurasian Mathematical Journal 2(3), pp. 147-149.

2010

• Huxley, M. N. and Žunić, J. 2010. The number of configurations in lattice point counting I. Forum Mathematicum 22(1), pp. 127-152. (10.1515/FORUM.2010.007)

2009

• Huxley, M. N. and Konyagin, S. V. 2009. Cyclic polygons of integer points. Acta Arithmetica 138(2), pp. 109-136. (10.4064/aa138-2-2)

2007

• Huxley, M. N. and Žunić, J. 2007. The number of N point digital discs. IEEE Transactions on Pattern Analysis and Machine Intelligence 29(1), pp. 159-161.
• Huxley, M. N. and Ivic, A. 2007. Subconvexity for the Riemann zeta function and the divisor problem. Bulletin CXXXIV de l'Acad\'emie Serbe des Sciences et des Arts 32, pp. 13-32.
• Huxley, M. N. 2007. The integer points on a plane curve. Functiones et Approximatio, Commentarii Mathematici 37(1), pp. 213-231.

2006

• Huxley, M. N. and Zunic, J. 2006. Different digitizations of displaced discs. Foundations of computational mathematics 6(2), pp. 255-268. (10.1007/s10208-005-0177-y)
• Huxley, M. N. 2006. Is the Hlawka zeta function a respectable object?. Presented at: Symposia in Pure Mathematics 75Proc Symposia Pure Math 75. American Mathematical Society pp. 225-230.
• Huxley, M. N., Klette, R. and Zunic, J. 2006. Precision of geometric moments in picture analysis. In: Geometric Properties from Incomplete Data.. Computational Imaging and Vision Vol. 31. Kluwer, pp. 221-235., (10.1007/1-4020-3858-8_12)
• Huxley, M. N. and Sargos, P. 2006. Points entiers au voisinage d'une courbe de classe C^n III. Functiones et Approximatio, Commentarii Mathematici 35(1), pp. 91-115.

2005

• Huxley, M. N. 2005. Exponential sums and the Riemann zeta function V. Proceedings of the London Mathematical Society 90(1), pp. 1-41. (10.1112/S0024611504014959)
• Huxley, M. N. 2005. The integer points close to a space curve. Presented at: Diophantine ApproximationsProceedings of Conference on Diophantine Approximations, Trudy Institit Matematiki (Minsk). Trudy Institit Matematiki (Minsk) pp. 94-113.

2004

• Huxley, M. N. 2004. Resonance curves in the Bombieri-Iwaniec method. Functiones et Approximatio Commentarii Mathematici 32, pp. 7-49.
• Huxley, M. N. and Zunic, J. 2004. On the number of digitisations of a disc depending on its position. In: Combinatorial Image Analysis.. Lecture Notes in Computer Science Vol. 3322. Springer, pp. 219-231., (10.1007/978-3-540-30503-3_17)
• Huxley, M. N. 2004. The rational points close to a curve III. Acta Arithmetica 113, pp. 15-30. (10.4064/aa113-1-2)

2003

• Huxley, M. N. 2003. Exponential sums and lattice points III. Proceedings of the London Mathematical Society 87(3), pp. 591-609. (10.1112/S0024611503014485)
• Huxley, M. N. 2003. The rational points close to a curve IV. In: Bonner Mathematischen Schriften.. Bonner Mathematischen Schriften Vol. 360. Bonn: Library of Mathematics

2001

• Huxley, M. N. and Watt, N. 2001. The number of ideals in a quadratic field II. Israel Journal of Mathematics 120(A), pp. 125-153.