Mark Lewko

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math.CA2026

A bilinear approach to the finite field restriction problem, II

Mark Lewko

Let $P_{3}$ denote the three-dimensional paraboloid over a finite field of prime order in which $- 1$ is not a square. We prove that the Fourier extension operator associated with $P_…

math.CA2026

The Sidon Decomposition Problem in Abelian Groups of Bounded Torsion

Mark Lewko

Let $G$ be a compact abelian group whose dual group $I^ = G$ has bounded torsion. In 1967, Malliavin-Brameret and Malliavin proved that every Sidon set in $I^$ is a finite…

math.CA2026

A bilinear approach to the finite field restriction problem

Mark Lewko

Let $P$ denote the $3$ -dimensional paraboloid over a finite field of odd characteristic in which $- 1$ is not a square. We show that the Fourier extension operator associated with $…