Benjamin Bedert

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20202026

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math.CO2023

On unique sums in Abelian groups

Benjamin Bedert

Let $A$ be a subset of the cyclic group $Z / p Z$ with $p$ prime. It is a well-studied problem to determine how small $∣ A ∣$ can be if there is no unique sum in $A + A$ …

math.NT2023

On a problem of Erdős and Sárközy about sequences with no term dividing the sum of two larger terms

Benjamin Bedert

In 1970, Erdős and Sárközy wrote a joint paper studying sequences of integers $a_{1} < a_{2} < \dots$ having what they called property P, meaning that no $a_{i}$ divides the sum of two large…