4 papers
Proofs of some conjectures by Bringmann, Han, Heim, and Kane on periodic sign changes in eta-quotients
Jing Jin, Olivia X. M. Yao, Shiwen Zhou
Bringmann, Han, Heim, and Kane recently investigated periodic sign patterns in the Fourier coefficients of weakly holomorphic modular forms arising from eta-quotients and posed num…
Parity results for the reciprocals of false theta functions
Jing Jin, Huan Xu, Olivia X. M. Yao
Recently, Keith investigated arithmetic properties for the reciprocals of some false theta functions and posed several conjectures. In this paper, we prove some parity results for…
Proof of a conjecture of Keith on congruences of the reciprocal of a false theta function
Jing Jin, Sijia Wang, Olivia X. M. Yao
Recently, Keith investigated reciprocals of false theta functions and proved some interesting results such as congruences, asymptotic bounds, and combinatorial identities. At the e…
Proofs of two conjectures on congruences of overcubic partition triples
Jiayu Chen, Jing Jin, Olivia X. M. Yao
Let denote the number of overcubic partition triples of . Nayaka, Dharmendra and Kumar proved some congruences modulo 8, 16 and 32 for . Rec…