B. HEMANTHKUMAR

Calkin

H. S. SUMANTH BHARADWAJ

M. S. MAHADEVA NAIKA

Mahadeva Naika

Ramanujan

Watson

English

Let$b_{3,5}(n)$denote the number of partitions of$n$into parts that are not multiples of 3 or 5. We establish several infinite families of congruences modulo 2 for$b_{3,5}(n)$. In the process, we also prove numerous parity results for broken 7-diamond partitions.</jats:p

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Bulletin of the Australian Mathematical Society

CONGRUENCES MODULO 2 FOR CERTAIN PARTITION FUNCTIONS

http://eprints-bangaloreuniversity.in/4619/1/mahadeva.pdf

CONGRUENCES MODULO 2 FOR CERTAIN PARTITION FUNCTIONS

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