arXiv Open Access 2023

Arithmetic Terms for Multinomial Coefficient Sums

Joseph M. Shunia Lorenzo Sauras-Altuzarra

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Abstrak

We construct arithmetic terms representing the partial sums of binomial coefficients, and we extend these results to obtain arithmetic terms representing the multisections of binomial coefficient sums. We also introduce an arithmetic term representing a certain type of multinomial coefficient sum and, as an application, we provide an arithmetic term representing the central trinomial coefficients. This solves one of the research problems of the celebrated book Concrete Mathematics, which remained open for nearly thirty years.

Topik & Kata Kunci

math.GM

Penulis (2)

Joseph M. Shunia

Lorenzo Sauras-Altuzarra

Format Sitasi

APA MLA BibTeX

Shunia, J.M., Sauras-Altuzarra, L. (2023). Arithmetic Terms for Multinomial Coefficient Sums. https://arxiv.org/abs/2312.00301

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓