2 citations · 3 across the 6 of their papers we have counts for
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math.CO2003
On combinatorial compexity of convex sequences
A. Iosevich, M. Rudnev, V. Ten
We obtain a good upper bound on the number of solutions of a diophantine equation arising from a strictly convex sequences of real numbers.
math.CA2003
A Weyl type formula for Fourier spectra and frames
Alex Iosevich, Mihail N. Kolountzakis
We prove qualitative and quantitative results concerning the asymptotic density in dilates of centered convex bodies of the frequency vectors of orthogonal exponential bases and fr…
math.CA2003★ 2 cited
Falconer conjecture in the plane for random metrics
S. Hofmann, A. Iosevich
We prove the following variant of the Falconer conjecture in the plane. If the dimension of a compact planar set is greater than one, then the distance set with respect to almost e…