Berkovich, A.Garvan, F.Yeşilyurt, Hamza2020-02-052020-02-0520190022-247Xhttp://hdl.handle.net/11693/53063In 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.EnglishCircular summationRamanujan's lost notebookPartition identitiesRamanujan's circular summation, t-cores and twisted partition identitiesArticle10.1016/j.jmaa.2019.06.051