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math.NT2023
Ramanujan's theta functions and internal congruences modulo arbitrary powers of
Shane Chern, Dazhao Tang
In this work, we investigate internal congruences modulo arbitrary powers of for two functions arising from Ramanujan's classical theta functions and . By letting…
math.NT2023★ 6 cited
Partitions with parts separated by parity: conjugation, congruences and the mock theta functions
Shishuo Fu, Dazhao Tang
Noting a curious link between Andrews' even-odd crank and the Stanley rank, we adopt a combinatorial approach building on the map of conjugation and continue the study of integer p…