On Sumset Inequalities: A Mathematical Approach
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.
Authors
- Pathikrit Basu
Institutions
- Indian Statistical Institute (IN)
Publication Details
- Journal
- Asian Research Journal of Mathematics
- Published
- 2025-04-04
- DOI
- https://doi.org/10.9734/arjom/2025/v21i4910
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00