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Hecke modular form expansions for eighth order Mock theta functions. (English) Zbl 1089.33014
The notion of a mock theta function goes back to Ramanujan. Since then various mock theta functions of different order have been found by several authors. The order of a mock theta function is analogous to the level of a modular form. In this paper the author uses Bailey pair method to derive Hecke type modular series for the eighth order mock theta functions. By using these Hecke type series, he gives a relation between the eighth order mock theta functions $$S_{0}(q)$$, $$S_{1}(q)$$ and theta functions.

##### MSC:
 33D15 Basic hypergeometric functions in one variable, $${}_r\phi_s$$ 11F11 Holomorphic modular forms of integral weight 11F27 Theta series; Weil representation; theta correspondences
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##### References:
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