Abstract:
The article is devoted to the distinguished mathematician A.Ja.KHintchine in connection
with his 125–year anniversary and 60-year of the his death.
We give the comment of results of A. Ja. Khintchine in the number theory.
Keywords:A. Ja. Khintchine, the representation of the number as a sum of two primes, diadic
fractions, continued fractions, the additive number theory, linear diophantine approximation,
the transfer theorem for singular system of linear equations, the quantitative conception of the
Kronecker's approximative theory.