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math.NT2026
Upper and lower estimates for integer complexity
Sergei Konyagin, Kristina Oganesyan
Let stand for the integer complexity of the number , i.e. for the least number of 's needed to write using arbitrary many additions, multiplications, and parenthe…
math.NT2021
Lattice points on small arcs
Kristina Oganesyan
We show that for any the number of lattice points belonging to an arc of length of the circle of radius centered at the origin is not uniformly bounded in…