Tenth Order Mock Theta Functions: Part I, The First Four Identities

George E. Andrews and Bruce C. Berndt
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George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois, Department of Mathematics

Chapter 8 in Ramanujan's Lost Notebook, 2018, pp 149-183 from Springer

Abstract: Abstract To split this lengthy chapter into manageable pieces, we proceed as follows. Section 8.2 will be devoted to establishing relevant Bailey pairs. Bailey pair Section 8.3 will use the Bailey pairs to provide useful representations of ϕ 10(q), ψ 10(q), X 10(q), and χ 10(q). Section 8.4 will provide useful rewritten versions of the four entries to be proved. In Section 8.5 we will then prove the rewritten identities.

Date: 2018
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DOI: 10.1007/978-3-319-77834-1_8

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