3 citations · 8 across the 7 of their papers we have counts for
7 papers
Primes in tuples and Romanoff's theorem
Artyom Radomskii
We obtain a lower bound for a number of primes in tuples. As applications, we obtain a lower bound for the Romanoff type representation functions.
Generalization of Romanoff's theorem
Artyom Radomskii
We generalize Romanoff's theorem. Also, we obtain a result on sums related to Euler's totient function.
A large integer is a sum of two prime avoiding numbers
Artyom Radomskii
Let , where is a prime. We show that there is a positive constant such that for any large integer there exist two positive integers and …
On Romanoff's theorem
Artyom Radomskii
We obtain some results related to Romanoff's theorem.
Sidon-type inequalities and the space of quasi-continuous functions
Artyom Radomskii
We discuss some different results on Sidon-type inequalities and on the space of quasi-continuous functions.
Consecutive primes in short intervals
Artyom Radomskii
We obtain a lower bound for \[ \#\{x/2< p_{n}\leq x:\ p_n \equiv\ldots\equiv p_{n+m}\equiv a\text{ (mod )},\ p_{n+m} - p_{n}\leq y\}, \] where is the pri…
Some Trigonometric Polynomials with Extremely Small Uniform Norm
Pavel G. Grigoriev, Artyom O. Radomskii
An example of trigonometric polynomials with extremely small uniform norm is given. This example demonstrates the potential limits for extension of Sidon's inequality for lacunary…