1. Discorrelation Between Primes in Short Intervals and Polynomial Phases. (2nd September 2019) Authors: Matomäki, Kaisa; Shao, Xuancheng Journal: International mathematics research notices Issue: Volume 2021:Number 16(2021) Page Start: 12330 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
2. Finding Linear Patterns of Complexity One. (30th January 2014) Authors: Shao, Xuancheng Journal: International mathematics research notices Issue: Volume 2015:Number 9(2015) Page Start: 2311 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
3. On character sums and exponential sums over generalized arithmetic progressions. (11th January 2013) Authors: Shao, Xuancheng Journal: Bulletin of the London Mathematical Society Issue: Volume 45:Part 3(2013:Jun.) Page Start: 541 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
4. Singmaster's Conjecture In The Interior Of Pascal's Triangle. (5th April 2022) Authors: Matomäki, Kaisa; Radziwiłł, Maksym; Shao, Xuancheng; Tao, Terence; Teräväinen, Joni Journal: Quarterly journal of mathematics Issue: Volume 73:Part 3(2022) Page Start: 1137 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
5. SMOOTH-SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE $x^{1/2}$-BARRIER. Issue 3 (29th November 2017) Authors: Drappeau, Sary; Granville, Andrew; Shao, Xuancheng Journal: Mathematika Issue: Volume 63:Issue 3(2017) Page Start: 895 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
6. SMOOTH‐SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE x1/2‐BARRIER. Issue 3 (29th November 2017) Authors: Drappeau, Sary; Granville, Andrew; Shao, Xuancheng Journal: Mathematika Issue: Volume 63:Issue 3(2017) Page Start: 895 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
7. Upper Tail Large Deviations for Arithmetic Progressions in a Random Set. (1st March 2018) Authors: Bhattacharya, Bhaswar B; Ganguly, Shirshendu; Shao, Xuancheng; Zhao, Yufei Journal: International mathematics research notices Issue: Volume 2020:Number 1(2020) Page Start: 167 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
8. Vinogradov's theorem with almost equal summands. Issue 2 (21st April 2017) Authors: Matomäki, Kaisa; Maynard, James; Shao, Xuancheng Journal: Proceedings of the London Mathematical Society Issue: Volume 115:Issue 2(2017) Page Start: 323 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗
9. Vinogradov's three primes theorem with almost twin primes. (20th April 2017) Authors: Matomäki, Kaisa; Shao, Xuancheng Journal: Compositio mathematica Issue: Volume 153:Number 6(2017) Page Start: 1220 Record Type: Journal Article View Content: Available online (eLD content is only available in our Reading Rooms) ↗