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- W3012545928 abstract "Since the study by Jacobi and Hecke, Hecke-type series have received extensive attention. Especially, Hecke-type series involving infinite products have attracted broad interest among many mathematicians including Kac, Peterson, Andrews, Bressoud and Liu. Motivated by the works of these people, we study Hecke-type series involving infinite products. In particular, we establish some Hecke-type series involving infinite products and then obtain the truncated versions of these series as well as some other known series of the same type. As consequences, three families of inequalities for certain partition functions are also presented. Our proofs heavily rely on a formula from the work of Zhi-Guo Liu." @default.
- W3012545928 created "2020-03-23" @default.
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- W3012545928 date "2020-03-11" @default.
- W3012545928 modified "2023-09-27" @default.
- W3012545928 title "Hecke-type series involving infinite products" @default.
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- W3012545928 doi "https://doi.org/10.48550/arxiv.2003.05418" @default.
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