N. R. Ponagandla

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math.NT2026

Quasipolynomial density bounds for $K$ -point configurations in $Z^{d}$

Andrew Lott, Ákos Magyar, Nagendar Reddy Ponagandla

Let $d, K, N \in N$ with $K \geq 3$ and $d \geq 4 K + 4$ . Let $Δ \subset Z^{d}$ be the vertex set of a nondegenerate $(K - 1)$ -simplex, and let $A \subseteq [N]^{d}$ contain no no…

math.NT2026

Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- $d$ inequality

Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri +6

Green and Sawhney recently obtained a quasipolynomial bound in the Furstenberg--Sárközy theorem for square differences by proving an ``arithmetic level-d'' inequality, thereby yiel…

math.NT2025

Polynomial progressions in the generalized twin primes

Andrew Lott, Nagendar Reddy Ponagandla

By Maynard's theorem and the subsequent improvements by the Polymath Project, there exists a positive integer $b \leq 246$ such that there are infinitely many primes $p$ such that $…

Quasipolynomial density bounds for K-point configurations in Zd

Extensions of the Furstenberg-Sárközy theorem via the arithmetic level-d inequality

Polynomial progressions in the generalized twin primes

Quasipolynomial density bounds for $K$ -point configurations in $Z^{d}$

Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- $d$ inequality