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math.NT2023
The local solubility for homogeneous polynomials with random coefficients over thin sets
Heejong Lee, Seungsu Lee, Kiseok Yeon
Let and be natural numbers greater or equal to . Let be a homogeneous polynomial i…
math.NT2023
The Hasse principle for homogeneous polynomials with random coefficients over thin sets
Kiseok Yeon
In this paper, we investigate the solubility of homogeneous polynomial equations. The work of Browning, Le boudec, Sawin [3] shows that almost all homogeneous equations of degree $…