Some Further Hecke-Type Identities
INTERNATIONAL JOURNAL OF NUMBER THEORY（2020）
摘要
In this paper, we obtain some Hecke-type identities by using two q-series expansion formulae. And, the identities can also be proved directly in terms of Bailey pairs. In particular, we show that certain partial theta functions and the theta functions can be expressed in terms of Hecke-type identities.
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关键词
q-series, Hecke-type identities, Bailey pairs, Bailey transform, partial theta functions, theta functions
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