Witness identities for three Ramanujan congruences
Nayandeep Deka BaruahHirakjyoti DasAbhishek Sarma
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Nayandeep Deka BaruahHirakjyoti DasAbhishek Sarma
文献摘要
For the unrestricted partition function p(n) for integers n≥0, it is known that p(49n+19)≡0(mod49), p(49n+33)≡0(mod49), and p(49n+40)≡0(mod49) for all n≥0. We find witness identities for these Ramanujan congruences.