additive combinatorics 1asymptotic basis 1dirichlet convolution 1function fields 1sidon sets 1von mangoldt function 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.CO2026
An asymptotic Sidon basis of order
Wei Niu
The paper proves that for any 0 < η < 0.0527 there exists an infinite Sidon set of natural numbers that forms an asymptotic basis of order 3 − η, so every sufficiently large intege…
math.NT2026
On Sárközy-Sós Theorem related to representation functions
Jin-Hui Fang, Sándor Z. Kiss, Wei Niu +1
Let be the set of all nonnegative integers. For a nonempty set and integers , let be the number…