1

Vinogradov’s three primes theorem with almost twin primes

Matomäki, Kaisa, Shao, Xuancheng
Journal:
Compositio Mathematica
Year:
2017
Language:
english
File:
PDF, 798 KB
english, 2017
2

A density version of the Vinogradov three primes theorem

Shao, Xuancheng
Journal:
Duke Mathematical Journal
Year:
2014
Language:
english
File:
PDF, 235 KB
english, 2014
3

Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier

Granville, Andrew, Shao, Xuancheng
Journal:
Advances in Mathematics
Year:
2019
Language:
english
File:
PDF, 723 KB
english, 2019
4

On an inverse ternary Goldbach problem

Shao, Xuancheng
Journal:
American Journal of Mathematics
Year:
2016
Language:
english
File:
PDF, 415 KB
english, 2016
5

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

Shao, Xuancheng
Journal:
Algebra & Number Theory
Year:
2015
Language:
english
File:
PDF, 994 KB
english, 2015
7

AN -FUNCTION-FREE PROOF OF VINOGRADOV’S THREE PRIMES THEOREM

SHAO, XUANCHENG
Journal:
Forum of Mathematics, Sigma
Year:
2014
Language:
english
File:
PDF, 354 KB
english, 2014
8

Character sums over unions of intervals

Shao, Xuancheng
Journal:
Forum Mathematicum
Year:
2015
Language:
english
File:
PDF, 217 KB
english, 2015
9

Gowers norms of multiplicative functions in progressions on average

Shao, Xuancheng
Journal:
Algebra & Number Theory
Year:
2017
Language:
english
File:
PDF, 983 KB
english, 2017
12

When the sieve works II

Matomäki, Kaisa, Shao, Xuancheng
Journal:
Journal für die reine und angewandte Mathematik (Crelles Journal)
Year:
2018
Language:
english
File:
PDF, 376 KB
english, 2018
13

Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations

Xuancheng Shao, Steven G. Johnson
Journal:
Signal Processing
Year:
2008
Language:
english
File:
PDF, 390 KB
english, 2008
14

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

Xuancheng Shao, Steven G. Johnson
Journal:
Signal Processing
Year:
2008
Language:
english
File:
PDF, 343 KB
english, 2008
15

Large values of the additive energy in and

SHAO, XUANCHENG
Journal:
Mathematical Proceedings of the Cambridge Philosophical Society
Year:
2014
Language:
english
File:
PDF, 297 KB
english, 2014
16

Narrow Arithmetic Progressions in the Primes

Shao, Xuancheng
Journal:
International Mathematics Research Notices
Year:
2016
Language:
english
File:
PDF, 287 KB
english, 2016