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An RNA regulates iron homeostasis and host mucus colonization in Bacteroides thetaiotaomicron

Prezza G, Fansler RT, Guest T, Mädler G, Schlauch H, Zhu W, Westermann AJ.   +6 more
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Examining the cognitive phenotype in Neurofibromatosis 1: a systematic review of functional imaging studies

Wild A, Tziraki M, Lea-Carnall C, Garg S.   +3 more
europepmc   +1 more source

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Identities involving mock theta functions and theta functions

Proceedings of the American Mathematical Society, 2023
In this paper, we first present new representations for several mock theta functions. In view of the sign flips on these identities, some interesting results involving theta functions are established by new Bailey pairs and Watson’s 8 ϕ 7 _8\phi _7 transformation ...
Song, Hanfei, Wang, Chun
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Three-parameter mock theta functions

Journal of Mathematical Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Su-Ping Cui, Nancy S.S. Gu, Qing-Hu Hou, Chen-Yang Su   +3 more
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Some Eighth Order Mock Theta Functions

Journal of the London Mathematical Society, 2000
Summary: A method is developed for obtaining Ramanujan's mock theta functions from ordinary theta functions by performing certain operations on their \(q\)-series expansions. The method is then used to construct several new mock theta functions, including the first ones of eighth order.
Gordon, Basil, McIntosh, Richard J.
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ON SOME NEW MOCK THETA FUNCTIONS

Journal of the Australian Mathematical Society, 2018
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 mock theta functions. In this paper, we study how this pair gives rise to new mock theta functions in terms of Appell–Lerch sums.
NANCY S. S. GU, LI-JUN HAO
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MOCK MAASS THETA FUNCTIONS

The Quarterly Journal of Mathematics, 2011
The purpose of this paper is to use a general class of indefinite theta functions to explain and generalize an example of a Maass waveform that was constructed by Cohen from two functions σ and σ*, studied by Andrews, Dyson and Hickerson. For this, we construct certain functions attached to an indefinite binary quadratic form and show that they are ...
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Mock Theta Functions and Mock Modular Forms

2012
In 1920, three months before his untimely death, Ramanujan hastily described the beginnings of a new theory he called “mock theta functions.” In 2001, Zwegers in his doctoral thesis, discovered the relation between non-holomorphic modular forms, indefinite theta series, and “mock theta functions.” We briefly describe this development in this chapter.
M. Ram Murty, V. Kumar Murty
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Fifth Order Mock Theta Functions: Proof of the Mock Theta Conjectures

2018
In Chapter 3, Section 3.1, we defined Ramanujan’s ten fifth order mock theta functions, and in Chapter 5 we stated the ten mock theta conjectures. The point of the latter chapter was to reveal that the conjectures could be separated into two groups of 5 each and that the conjectures within each group are equivalent.
George E. Andrews, Bruce C. Berndt
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Generalizations of mock theta functions

International Journal of Number Theory
Mock theta functions were first introduced by Ramanujan in his last paper to Hardy. Moreover, some other mock theta functions were presented in his lost notebook. It is well known that all the classical mock theta functions can be expressed by the universal mock theta functions [Formula: see text] and [Formula: see text].
Su-Ping Cui, Nancy S. S. Gu, Chen-Yang Su, Matthew H. Y. Xie   +3 more
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