Dr Iskander Aliev
Overview
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Position:
Lecturer
Email:
AlievI@cardiff.ac.ukTelephone: +44(0)29 208 75547
Fax: +44(0)29 208 74199
Extension: 75547
Location: M/2.15
Research Group
Recent Significant Publications
(with M. Henk) On Feasibility of Integer Knapsacks, (2009) submitted (arXiv).
(with M. Henk and A. Hinrichs) Expected Frobenius Numbers, J Comb. Theory A (2009) accepted for publication (arXiv).
(with M. Henk) Integer Knapsacks: Average Behavior of Frobenius Numbers, Mathematics of Operations Research, 34 (2009), 698-705 (arXiv).
Siegel's Lemma and Sum-Distinct Sets, Discrete Comput. Geom., 39 (2008), 59-66 (arXiv).
Teaching
MA0345 Introduction to Wavelets and Data Compression
Personal Website
Publications
(with M. Henk) On Feasibility of Integer Knapsacks, (2009) submitted (arXiv).
(with M. Henk and A. Hinrichs) Expected Frobenius Numbers, J Comb. Theory A (2009) accepted for publication (arXiv).
(with M. Henk) Integer Knapsacks: Average Behavior of Frobenius Numbers, Mathematics of Operations Research, 34 (2009), 698-705 (arXiv).
Siegel's Lemma and Sum-Distinct Sets, Discrete Comput. Geom., 39 (2008), 59-66 (arXiv).
(with P. M. Gruber) An Optimal Lower Bound for the Frobenius Problem, Journal of Number Theory, 123 (2007), 71-79 (arXiv).
(with P. M. Gruber) Lattice Points in Large Borel Sets and Successive Minima, Discrete Comput. Geom., 35 (2006), 429-435 (arXiv).
(with M. Henk) Successive Minima and Best Simultaneous Diophantine Approximations, Monatsh. Math., 147 (2) (2006), 95-101 (arXiv).
(with P. M. Gruber) Best Simultaneous Diophantine Approximations under a Constraint on the Denominator, Contrib. Discrete Math., 1 (2006), 29-46 (arXiv).
(with A. Schinzel and W. M. Schmidt) On Vectors Whose Span Contains a Given Linear Subspace, Monatsh. Math., 144 (2005), 177-191.
On a Decomposition of Integer Vectors, II, Acta Arith., 102 (2002), 373-391.
On a Decomposition of Integer Vectors, I, Bull. Pol. Ac.: Math., 49 (2001), 151-157.
(with A. Zhigljavsky) Weyl Sequences: Asymptotic Distributions of the Partition Lengths, Acta Arith. 88 (1999), 351-361.
(with S. Kanemitsu and A. Schinzel) On the Metric Theory of Continued Fractions, Colloq. Math., 77 (1998), 141-146.
(with C. Smyth) Solving Algebraic Equations in Roots of Unity,(arXiv)(2007) submitted.
(with C. Smyth) Power Maps and Subvarieties of the Complex Algebraic n-torus, (arXiv) (2008) submitted.
Aliev I - Siegel's Lemma and Sum-Distinct Sets, Discrete Comput. Geom., to appear (arXiv:math.MG/0503115).
Aliev I and Gruber P M - An Optimal Lower Bound for the Frobenius Problem, Journal of Number Theory, 123 (2007), 71-79 (arXiv:math.NT/0512083).
Aliev I and Gruber P M - Lattice Points in Large Borel Sets and Successive Minima, Discrete Comput. Geom., 35 (2006), 429-435 (arXiv:math.NT/0510163).
Aliev I and Henk M - Successive Minima and Best Simultaneous Diophantine Approximations, Monatsh. Math., 147 (2) (2006), 95-101 (arXiv:math.MG/0503365).