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The Fifth and Seventh Order Mock Theta Functions

George E. Andrews
Transactions of the American Mathematical Society
Vol. 293, No. 1 (Jan., 1986), pp. 113-134
DOI: 10.2307/2000275
Stable URL: http://www.jstor.org/stable/2000275
Page Count: 22
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The Fifth and Seventh Order Mock Theta Functions
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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.

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