Ramanujan's circular summation, t-cores and twisted partition identities
Embargo Lift Date: 2021-11-01
Journal of Mathematical Analysis and Applications
773 - 788
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In this paper, we give new evaluations for Ramanujan’s circular summation function. We also provide simpler proofs for known evaluations and give some generalizations. We discover modular relations among circular summation function partition function and give uniform proof of Ramanujan’s partition congruences for the moduli 5, 7 and 11. We also prove several interesting congruence relations.