Analytic number theory, dynamical systems, continued fractions, Kloosterman sums, billiards, geometry of numbers.
Main publications:
V. A. Bykovskii.
Otnositelnye minimumy reshetok i vershiny mnogogrannikov Kleina,
Funkts. analiz i ego pril., 2006, 40:1, 69–71.
M. O. Avdeeva, V. A. Bykovskii.
Utochnenie teoremy Valena dlya bazisov Minkovskogo trekhmernykh reshetok,
Matem. zametki, 2006, 79:2, 163–168.
V. A. Bykovskii.
Otsenka dispersii dlin konechnykh nepreryvnykh drobei,
Fundament. i prikl. matem., 2005, 11:6, 15–26.
V. A. Bykovskii.
Obrazuyuschie elementy annuliruyuschego ideala dlya modulyarnykh simvolov,
Funkts. analiz i ego pril., 2003, 37:4, 27–38.
M. O. Avdeeva, V. A. Bykovskii.
Analog teoremy Valena dlya sovmestnykh priblizhenii pary chisel,
Matem. sb., 2003, 194:7, 3–14.
V. A. Bykovskii, O. A. Gorkusha.
Minimalnye bazisy trekhmernykh polnykh reshetok,
Matem. sb., 2001, 192:2, 57–66.
V. A. Bykovskii.
Funktsionalnye uravneniya dlya ryadov Gekke–Maassa,
Funkts. analiz i ego pril., 2000, 34:2, 23–32.
V. A. Bykovskii.
Teorema Valena dlya dvumernykh podkhodyaschikh drobei,
Matem. zametki, 1999, 66:1, 30–37.
V. A. Bykovskii.
Diskretnoe preobrazovanie Fure i tsiklicheskaya svertka na tselochislennykh reshetkakh,
Matem. sb., 1988, 136(178):4(8), 451–467.
V. A. Bykovskii, A. I. Vinogradov, O. V. Lokutsievskii, N. I. Feldman.
Nikolai Mikhailovich Korobov (k semidesyatiletiyu so dnya rozhdeniya),
UMN, 1988, 43:1(259), 221–222.
