WebOn generalizations of theorems involving the third-order mock theta functions HTML articles powered by AMS MathViewer by QiuXia Hu and ZhiZheng Zhang PDF Proc. Amer. Math. Soc. 148 (2024), ... Modular transformations of Ramanujan’s fifth and seventh order mock theta functions, Ramanujan J. 7 (2003), no. 1-3, 193–222. WebHe called them mock theta functions, because as q radially approaches any point e 2πir (r rational), there is a theta function F r (q) with F(q) − F r (q) = O(1). In this paper we …
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Webmock theta functions can be regarded as incomplete harmonic Maass forms and as so belong naturally to the theory of modular forms. This has led to new results about mock … WebIt is the purpose of this paper to prove the seventh and eighth identities of Ramanujan’s tenth order mock theta function identities which are expressed by mock theta … msr880 software
On two fifth order mock theta functions SpringerLink
WebD Hickerson, On the seventh order mock theta functions. Invent Math 94, 661–677 (1988). Crossref. Google Scholar. 9. GE Andrews, The fifth and seventh order mock theta functions. Trans Am Math Soc 293, 113–134 (1986). Crossref. Google Scholar. 10. FJ Dyson, A walk through Ramanujan’s garden. Web21 de dez. de 2024 · In 1991, Andrews and Hickerson established a new Bailey pair and combined it with the constant term method to prove some results related to sixth-order … Web1 de abr. de 2024 · On the seventh order mock theta functions. Article. Oct 1988; Dean ... We prove all of these mod 4 conjectures and similar congruences for the Andrews spt-function and related mock theta functions. msr90 free download software