Abstract
In view of the modular equation of fifth order, we give a simple proof of Keith’s conjecture which is some infinite families of congruences modulo 3 for the 9-regular partition function. Meanwhile, we derive some new congruences modulo 3 for the 9-regular partition function.
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We wish to thank the referee for helpful suggestions.
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This work was supported by the National Natural Science Foundation of China and the PCSIRT Project of the Ministry of Education.
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Cui, SP., Gu, N.S.S. Congruences for 9-regular partitions modulo 3. Ramanujan J 38, 503–512 (2015). https://doi.org/10.1007/s11139-014-9586-3
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DOI: https://doi.org/10.1007/s11139-014-9586-3