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math.NT2012
The number of integer points in a family of anisotropically expanding domains
Yuri A. Kordyukov, Andrey A. Yakovlev
We investigate the remainder in the asymptotic formula for the number of integer points in a family of bounded domains in the Euclidean space, which remain unchanged along some lin…
math.NT2010
Integer points in domains and adiabatic limits
Yuri A. Kordyukov, Andrey A. Yakovlev
We prove an asymptotic formula for the number of integer points in a family of bounded domains in the Euclidean space with smooth boundary, which remain unchanged along some linear…