Xuancheng Shao
- Polynomial values modulo primes on average and sharpness of the larger sieve
2014/09/25 by Xuancheng Shao, Shao, Xuancheng · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.NT
- Discorrelation between primes in short intervals and polynomial phases
2019/02/13 by Kaisa Matomäki, Xuancheng Shao, Matomäki, Kaisa +1 · 2 citations
Mathematics · #11L20 #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)
- On an inverse ternary Goldbach problem
2014/04/24 by Xuancheng Shao, Shao, Xuancheng · 1 citation
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.NT
- When the sieve works II
2015/09/08 by Kaisa Matomäki, Matomäki, Kaisa, Xuancheng Shao +1 · 1 citation
Mathematics · #11B30 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Primary: 11N35. Secondary: 11B25 #math.CO #math.NT #msc:11B25 #msc:11B30 #msc:11N35.
- Narrow arithmetic progressions in the primes
2015/09/16 by Xuancheng Shao, Shao, Xuancheng · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.CO #math.NT
- On an almost all version of the Balog-Szemeredi-Gowers theorem
2018/11/26 by Xuancheng Shao, Shao, Xuancheng · 1 citation
Computer Science · Mathematics · #11B13 #11B30 #Advanced Graph Theory Research #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT)
- Character sums over unions of intervals
2013/02/02 by Xuancheng Shao, Shao, Xuancheng · 2 citations
Computer Science · Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.NT #semigroups and automata theory
- Bounds in a popular multidimensional nonlinear Roth theorem
2024/07/11 by Sarah Peluse, Peluse, Sarah, Sean Prendiville +3 · 2 citations
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)
- Density versions of the binary Goldbach problem
2024/05/28 by Ali Alsetri, Xuancheng Shao, Alsetri, Ali +1 · 2 citations
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)
- Sums of Kloosterman sums over square-free and smooth integers
2024/11/18 by Xuancheng Shao, Shao, Xuancheng, Igor E. Shparlinski +3 · 1 citation
Mathematics · Computer Science · #Analytic Number Theory Research #Limits and Structures in Graph Theory #Coding theory and cryptography