46 citations · 184 across the 42 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.MG2019
Log-optimal (d+2)-configurations in d-dimensions
Peter D. Dragnev, Oleg R. Musin
We enumerate and classify all stationary logarithmic configurations of d+2 points on the unit (d-1)-sphere in d-dimensions. In particular, we show that the logarithmic energy attai…
math.NT2019★ 1 cited
Ramanujan's theorem and highest abundant numbers
Oleg R. Musin
In 1915, Ramanujan proved asymptotic inequalities for the sum of divisors function, assuming the Riemann hypothesis (RH). We consider a strong version of Ramanujan's theorem and de…
math.OC2019★ 1 cited
An extension the semidefinite programming bound for spherical codes
Oleg R. Musin
In this paper we present an extension of known semidefinite and linear programming upper bounds for spherical codes and consider a version of this bound for distance graphs. We app…