3 papers
math.NT2026
Decomposing a factorial into large factors
Boris Alexeev, Evan Conway, Matthieu Rosenfeld +4
Let denote the largest number such that can be expressed as the product of integers greater than or equal to . The bound was apparently es…
math.CO2026
Short proofs in combinatorics and number theory
Boris Alexeev, Moe Putterman, Mehtaab Sawhney +2
We give a triplet of short proofs, each of which answers a question raised by ErdÅs. The first concerns the small prime factors of , the second concerns whether an a…
cs.CR2025
Chunking Attacks on File Backup Services using Content-Defined Chunking
Boris Alexeev, Colin Percival, Yan X Zhang
Systems such as file backup services often use content-defined chunking (CDC) algorithms, especially those based on rolling hash techniques, to split files into chunks in a way tha…