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math.CO2026
A Uniform Product-Difference Theorem for Dense Subsets of
Sayan Goswami, Chunlin Liu
We establish a uniform product-difference theorem for dense subsets of , which gives an affirmative answer to Problem~2 of Fish and, as consequences, to both parts of…
math.CO2025
The Interplay between Additive and Multiplicative Central Sets Theorems
Pintu Debnath, Sayan Goswami, Chunlin Liu
The concept of Central sets, introduced by Furstenberg through the framework of topological dynamics, has played a pivotal role in combinatorial number theory. Furstenberg's Centra…