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• W4312831692 abstract "Abstract This is an account on the theory of formal power series developed entirely without any analytic machinery. Combining ideas from various authors we are able to prove Newton’s binomial theorem, Jacobi’s triple product, the Rogers–Ramanujan identities and many other prominent results. We apply these methods to derive several combinatorial theorems including Ramanujan’s partition congruences, generating functions of Stirling numbers and Jacobi’s four-square theorem. We further discuss formal Laurent series and multivariate power series and end with a proof of MacMahon’s master theorem." @default.
• W4312831692 created "2023-01-05" @default.
• W4312831692 creator A5066540439 @default.
• W4312831692 date "2022-08-18" @default.
• W4312831692 modified "2023-10-18" @default.
• W4312831692 title "An Invitation to Formal Power Series" @default.
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• W4312831692 doi "https://doi.org/10.1365/s13291-022-00256-6" @default.
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