Regular ternary sums of generalized polygonal numbers
Mingyu Kim

TL;DR
This paper establishes a specific constant beyond which no regular ternary sum of generalized m-gonal numbers exists, advancing understanding of their distribution.
Contribution
It provides an explicit constant C, proving the non-existence of regular ternary sums of generalized m-gonal numbers for all m > C.
Findings
Identifies an explicit constant C for generalized m-gonal numbers.
Proves non-existence of regular ternary sums beyond this constant.
Enhances understanding of the structure of generalized polygonal numbers.
Abstract
In this article, we provide an explicit constant such that there is no regular ternary sum of generalized -gonal numbers for any integer greater than .
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