Pavel Zorin-Kranich

activity

20102024

most citedVariation estimates for averages along primes and polynomials

40 citations · 489 across the 52 of their papers we have counts for

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2 papers · 1 filter

math.NT2019★ 13 cited

A short proof of $ℓ^{2}$ decoupling for the moment curve

Shaoming Guo, Zane Kun Li, Po-Lam Yung +1

We give a short and elementary proof of the $ℓ^{2}$ decoupling inequality for the moment curve in $R^{k}$ , using a bilinear approach inspired by the nested efficient cong…

math.NT2018★ 16 cited

Decoupling for moment manifolds associated to Arkhipov--Chubarikov--Karatsuba systems

Shaoming Guo, Pavel Zorin-Kranich

We prove $ℓ^{p} L^{p}$ decoupling inequalities for a class of moment manifolds. These inequalities imply optimal mean value estimates for multidimensional Weyl sums of the kind c…

A short proof of ℓ2 decoupling for the moment curve

Decoupling for moment manifolds associated to Arkhipov--Chubarikov--Karatsuba systems

A short proof of $ℓ^{2}$ decoupling for the moment curve