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Bibliographic Details
Main Author: Vukusic, Ingrid
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.21200
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Table of Contents:
  • The additive square problem is a relatively famous open problem in the area of combinatorics on words: Does there exist an infinite word over a finite alphabet, such that no two consecutive blocks of the same length have the same sum? In this note we solve a Lebesgue integral variant of the problem. The proof is based on Lebesgue's density theorem.