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math.CA2022★ 1 cited
A decoupling interpretation of an old argument for Vinogradov's Mean Value Theorem
Brian Cook, Kevin Hughes, Zane Kun Li +3
We interpret into decoupling language a refinement of a 1973 argument due to Karatsuba on Vinogradov's mean value theorem. The main goal of our argument is to answer what precisely…
math.NT2022
Finding large additive and multiplicative Sidon sets in sets of integers
Yifan Jing, Akshat Mudgal
Given , we write a set to be a set if for any , the number of solutions to the additive equation $n = x_…