Optimal Control, Everywhere Dense Torus Winding, and Wolstenholme Primes / D. D. Kiselev. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 4. P. 60-62 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 162-163].

An optimal control problem is constructed so that its control runs over an everywhere dense winding of a k-dimensional torus for arbitrary natural k\leqslant 249\,998\,919 given in advance. The construction is based on Galois theory and the Wolstenholme primes distribution.

Key words: torus winding, Galois theory, Wolstenholme primes.

№ 4/2018