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Arithmetic identities of Ramanujan's general partition function for modulo 17

SHRUTHI|B. R. SRIVATSA KUMAR
장전수학회 (Jangjeon Mathematical Society)|2019.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제22권 제4호|pp. 625-630|DOI 10.17777/pjms.2019.22.4.010

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키워드

Partition congruenceq-identityRamanu- jan's general partition function
주제분류수학

초록

In this paper, we prove four in nite families of congruences modulo 17 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 congruences for the general partition function.

Abstract

In this paper, we prove four in nite families of congruences modulo 17 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 congruences for the general partition function.

참고문헌 (18)

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  12. M. Newmann, "Congruence for the coefficients of modular forms and some new con-gruences for the partition function", Canad. J. Math, 9, pp.549~552 (1957)
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