X. Shao

activity

20072022

most citedType-II/III DCT/DST algorithms with reduced number of arithmetic operations

60 citations · 281 across the 30 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

2 papers · 2 filters

math.NT2014

Polynomial values modulo primes on average and sharpness of the larger sieve

Xuancheng Shao

This paper is motivated by the following question in sieve theory. Given a subset $X \subset [N]$ and $α \in (0, 1/2)$ . Suppose that $∣ X (mod p) ∣ \leq (α + o (1)) p$ for every prime $p$ . Ho…

math.NT2014★ 3 cited

On an inverse ternary Goldbach problem

Xuancheng Shao

We prove an inverse ternary Goldbach-type result. Let $N$ be sufficiently large and $c > 0$ be sufficiently small. If $A_{1}, A_{2}, A_{3} \subset [N]$ are subsets with $|A_1|,|A_2|,|A_3|\geq…