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math.NT2025
An extended Vinogradov's mean value theorem
Changkeun Oh, Kiseok Yeon
In this paper, we provide novel mean value estimates for exponential sums related to the extended main conjecture of Vinogradov's mean value theorem, by developing the Hardy-Little…
math.NT2025
The Hasse principle for random homogeneous polynomials in thin sets
Daniel Flores, Kiseok Yeon
Let and be natural numbers. Let denote the Veronese embedding with , defined by listing all t…