The fifth and seventh order mock theta functions
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- by George E. Andrews PDF
- Trans. Amer. Math. Soc. 293 (1986), 113-134 Request permission
Abstract:
The theory of Bailey chains is extended to yield identities for Hecke type modular forms and related generalizations. The extended results allow us to produce Hecke type series for the fifth and seventh order mock theta functions. New results on the generating function for sums of three squares also follow, and a new proof that every integer is the sum of three triangular numbers is given.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 293 (1986), 113-134
- MSC: Primary 33A35; Secondary 05A19, 11P05
- DOI: https://doi.org/10.1090/S0002-9947-1986-0814916-2
- MathSciNet review: 814916