Results 11 to 20 of about 33,042 (127)
On the modularity of certain functions from the Gromov–Witten theory of elliptic orbifolds [PDF]
Royal Society Open Science, 2015 In this paper, we study modularity of several functions which naturally arose in a recent paper of Lau and Zhou on open Gromov–Witten potentials of elliptic orbifolds.
Kathrin Bringmann +2 more
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Partitions with parts separated by parity: conjugation, congruences and the mock theta functions [PDF]
Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2023 Noting a curious link between Andrews’ even-odd crank and the Stanley rank, we adopt a combinatorial approach building on the map of conjugation and continue the study of integer partitions with parts separated by parity.
Shishuo Fu, Dazhao Tang
semanticscholar +1 more source
A CHARACTERIZATION OF MODIFIED MOCK THETA FUNCTIONS [PDF]
Transformation Groups, 2016 We give a characterization of modified (in the sense of Zwegers) mock theta functions, parallel to that of ordinary theta functions. Namely, modified mock theta functions are characterized by their analyticity properties, elliptic transformation properties, and by being annihilated by certain second order differential operators.
Kac, Victor, Wakimoto, Minoru
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Superconformal algebras and mock theta functions [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 It is known that characters of BPS representations of extended superconformal algebras do not have good modular properties due to extra singular vectors coming from the BPS condition. In order to improve their modular properties we apply the method of Zwegers which has recently been developed to analyze modular properties of mock theta functions.
Eguchi, Tohru, Hikami, Kazuhiro
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Representations of mock theta functions [PDF]
Advances in Mathematics, 2017 Motivated by the works of Liu, we provide a unified approach to find Appell-Lerch series and Hecke-type series representations for mock theta functions. We establish a number of parameterized identities with two parameters $a$ and $b$. Specializing the choices of $(a,b)$, we not only give various known and new representations for the mock theta ...
Chen, Dandan, Wang, Liuquan
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Some identities associated with theta functions and tenth order mock theta functions [PDF]
Mathematica MoravicaThe main objective of this paper is to present some identities associated with theta functions and tenth order mock theta functions. Several closely-related identities such as (for example) q-product identities and Jacobi's triple-product identity are ...
Chaudhary M.P. +2 more
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Antiquantum q-series identities and mock theta functions [PDF]
The Ramanujan journalRamanujan’s original definition of mock theta functions from 1920 involves their asymptotic behaviors at roots of unity on the boundary of the disk of convergence |q|
Amanda Folsom, David Metacarpa
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On Ramanujan's lost notebook and new tenth‐order like identities for second‐, sixth‐, and eighth‐order mock theta functions [PDF]
Bulletin of the London Mathematical Society, 2022 Ramanujan's lost notebook contains many mock theta functions and mock theta function identities not mentioned in his last letter to Hardy. For example, we find the four tenth‐order mock theta functions and their six identities.
Eric T. Mortenson
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A Mock Theta Function of Second Order [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We consider the second‐order mock theta function 𝒟5 (q), which Hikami came across in his work on mathematical physics and quantum invariant of three manifold. We give their bilateral form, and show that it is the same as bilateral third‐order mock theta function of Ramanujan. We also show that the mock theta function 𝒟5 (q) outside the unit circle is a
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ON THE TENTH-ORDER MOCK THETA FUNCTIONS [PDF]
Journal of the Australian Mathematical Society, 2017 Using properties of Appell–Lerch functions, we give insightful proofs for six of Ramanujan’s identities for the tenth-order mock theta functions.
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