60 citations · 281 across the 30 of their papers we have counts for
4 papers · 1 filter
A robust version of Freiman's Theorem and applications
Xuancheng Shao, Max Wenqiang Xu
We prove a robust version of Freiman's theorem on the restricted sumset , which applies when the doubling constant is at most in general and…
When does the Bombieri-Vinogradov Theorem hold for a given multiplicative function?
Andrew Granville, Xuancheng Shao
Let and be -bounded multiplicative functions for which . The Bombieri-Vinogradov Theorem holds for both and if and only if the Siegel-Walfisz criter…
Smooth-supported multiplicative functions in arithmetic progressions beyond the -barrier
Sary Drappeau, Andrew Granville, Xuancheng Shao
We show that smooth-supported multiplicative functions are well-distributed in arithmetic progressions on average over moduli …
Bombieri-Vinogradov for multiplicative functions, and beyond the -barrier
Andrew Granville, Xuancheng Shao
Part-and-parcel of the study of "multiplicative number theory" is the study of the distribution of multiplicative functions in arithmetic progressions. Although appropriate analogi…