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math.NT2026
Regular ternary sums of generalized polygonal numbers
Mingyu Kim
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 .
math.NT2025
Composition laws of binary quadratic forms and isolations of quadratic forms
Jangwon Ju, Daejun Kim, Kyoungmin Kim +2
A positive definite and integral quadratic form is called irrecoverable if there is a quadratic form such that it represents all proper subforms of , whereas it does not…