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General coefficient-vanishing results associated with theta series
Shane Chern, Dazhao Tang
There are a number of sporadic coefficient-vanishing results associated with theta series, which suggest certain underlying patterns. By expanding theta powers as linear combinatio…
math.NT2022
Asymmetric Rogers--Ramanujan type identities. I. The Andrews--Uncu Conjecture
Shane Chern
In this work, we start an investigation of asymmetric Rogers--Ramanujan type identities. The first object is the following unexpected relation $$\sum_{n\ge 0} \frac{(-1)^n q^{3\bin…