Ramanujan’s partial theta series and parity in partitions
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A partial theta series identity from Ramanujan’s lost notebook has a connection with some parity problems in partitions studied by Andrews in Ramanujan J., to appear where 15 open problems are listed. In this paper, the partial theta series identity of Ramanujan is revisited and answers to Questions 9 and 10 of Andrews are provided.
KeywordsInteger partitions Parity indices in partitions Partial theta series Ramanujan’s lost notebook
Mathematics Subject Classification (2000)05A17 11P81
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