additive number theory 1combinatorial number theory 1complete sequences 1dyadic intervals 1Erdős conjecture 1strong completeness 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NT2026
Strongly complete sets and a conjecture of ErdÅs
Steve Fan
The paper proves that a set of natural numbers is strongly complete—still able to represent all large integers as sums of distinct elements after removing finitely many members—und…
math.NT2026
The van der Corput property for sums of two squares
Steve Fan, Andrew Lott
Let We prove a power-saving form of the van der Corput property for . As a consequence, we obtain a strong Sá…
math.NT2026
Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- inequality
Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri +6
Very recently, Green and Sawhney obtained a quasipolynomial bound in the Furstenberg--Sárközy theorem for square differences by proving an ''arithmetic level-'' inequality, th…