Congruences for Partition Quadruples with t-Cores
M. S. Mahadeva Naika , S. Shivaprasada Nayaka
Let Ct(n) denote the number of partition quadruples of n with t-cores for t= 3,5,7,25. We establish some Ramanujan type congruences modulo 5,7,8 for Ct(n). For example, n≥ 0, we have C5(5n+4)≡0(mod5),C7(7n+6)≡0(mod7),C3(16n+14)≡0(mod8).
M. S. Mahadeva Naika
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S. Shivaprasada Nayaka