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Some Congruence Properties for Ramanujan’s General Partitions

B. R. S. Kumar|D. A. Radha|Shruthi Hegde
장전수학회 (Jangjeon Mathematical Society)|2020.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제23권 제3호|pp. 415-423|DOI 10.17777/pjms.2020.23.3.012

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참고문헌

키워드

q-identitiesPartition congruenceRamanujan's general partition func- tion
주제분류수학

초록

In this paper, we prove four new infinite families of congruences modulo 13 for the general partition function pr(n) for negative values of r. Our emphasis throughout this paper is to exhibit the use of q-identities to generate congru- ences for general partitions.

Abstract

In this paper, we prove four new infinite families of congruences modulo 13 for the general partition function pr(n) for negative values of r. Our emphasis throughout this paper is to exhibit the use of q-identities to generate congru- ences for general partitions.

참고문헌 (21)

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