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On the partition function

J. D. Bulnes|T. Kim|J. Lopez-Bonilla|S. Vidal-Beltran
장전수학회 (Jangjeon Mathematical Society)|2023.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제26권 제1호|pp. 1-9|DOI 10.17777/pjms.2023.26.1.001

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On the partition function
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초록

t. In this paper, we exhibit short deductions of the Jha and Malenfant expressions for the partition function, and we show several connections between the Euler, divisor and partition functions via the partial Bell polynomials and Hessenberg determinants. Besides, we show that the Gandhi’s recurrence relation for colour partitions implies the Osler-Hassen-Chandrupatla’s expression for the divisor function

Abstract

t. In this paper, we exhibit short deductions of the Jha and Malenfant expressions for the partition function, and we show several connections between the Euler, divisor and partition functions via the partial Bell polynomials and Hessenberg determinants. Besides, we show that the Gandhi’s recurrence relation for colour partitions implies the Osler-Hassen-Chandrupatla’s expression for the divisor function

참고문헌 (23)

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  15. S. Kumar Jha, "A formula for the number of partitions of n in terms of the partial Bell polynomials", The Ramanujan Journal, pp.1~4 (2021)
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관련 논문AI추천

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