Year: 2025
Type: article
Abstract: In this paper, we study sumset inequalities concerning cardinalities of sumsets and functions of finite subsets of integers such as entropy and additive energy. We also identify sufficient conditions for existence of arithmetic progressions in difference sets and three-term progressions in differences of squares of prime numbers.
Author: Pathikrit Basu
Institution: Indian Statistical Institute, Delhi Centre
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409168702