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math.CA2026
Boundedness of Multilinear Hilbert Transforms Along Moment Curves
Jingwei Guo, Xiaochun Li, Guoqing Zhan
We prove the boundedness of multilinear Hilbert transforms along moment curves by establishing uniform estimates for both translated and untranslated multilinear paraproducts and b…
math.NT2026
A multidimensional Szemerédi theorem in integers
Jingwei Guo, Changxing Miao, Guoqing Zhan
For any integer , let be a strictly increasing -tuple of positive integers. We show that any subset of density at least $(\log…