On the Number of Combinations Generating a Sum

We present some elementary arguments that are applicable to problems in additive combinatorics. In particular, we study the problem of multiple pairs generating the same sum, establishing a general result in the context of an ordered group.

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Publication Details

Journal
Asian Research Journal of Mathematics
Published
2024-08-31
DOI
https://doi.org/10.9734/arjom/2024/v20i9833
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

On the Number of Combinations Generating a Sum

Pathikrit Basu
Asian Research Journal of Mathematics
Advanced Mathematical Identities
article

On the Number of Combinations Generating a Sum

Pathikrit Basu
article en

Abstract

We present some elementary arguments that are applicable to problems in additive combinatorics. In particular, we study the problem of multiple pairs generating the same sum, establishing a general result in the context of an ordered group.

Asian Research Journal of MathematicsVol. 20(9)
Openalex Percentile: Top 73%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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On the Number of Combinations Generating a Sum — Pathikrit Basu · Asian Research Journal of Mathematics (2024) | TGRS Research Map | TGRS