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Conformal Blocks, Generalized Theta Functions and the Verlinde Formula
, 2021In 1988, E. Verlinde gave a remarkable conjectural formula for the dimension of conformal blocks over a smooth curve in terms of representations of affine Lie algebras.
Shrawan Kumar
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Journal of Cognitive Neuroscience, 2022
The ability to inhibit responses is central for situational behavior. However, the mechanisms how sensory information is used to inform inhibitory control processes are incompletely understood.
Astrid Prochnow +4 more
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The ability to inhibit responses is central for situational behavior. However, the mechanisms how sensory information is used to inform inhibitory control processes are incompletely understood.
Astrid Prochnow +4 more
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Mathematical methods in the applied sciences, 2019
We define and study the multidimensional Appell polynomials associated with theta functions. For the trivial theta functions, we obtain the various well‐known Appell polynomials. Many other interesting examples are given.
A. Bayad, Mounir Hajli
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We define and study the multidimensional Appell polynomials associated with theta functions. For the trivial theta functions, we obtain the various well‐known Appell polynomials. Many other interesting examples are given.
A. Bayad, Mounir Hajli
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Several q-series related to Ramanujan’s theta functions
The Ramanujan journal, 2018Quite recently, the first author investigated vanishing coefficients of the arithmetic progressions in several q-series expansions. In this paper, we further study the signs of coefficients in two q-series expansions and establish some interlinked ...
Dazhao Tang, Ernest X. W. Xia
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Identities involving mock theta functions and theta functions
Proceedings of the American Mathematical Society, 2023In 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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FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS
Nagoya mathematical journal, 2018In 2005, using a famous lemma of Atkin and Swinnerton-Dyer (Some properties of partitions, Proc. Lond. Math. Soc. (3) 4 (1954), 84–106), Yesilyurt (Four identities related to third order mock theta functions in Ramanujan’s lost notebook, Adv. Math.
G. Andrews +4 more
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ON SOME NEW MOCK THETA FUNCTIONS
Journal of the Australian Mathematical Society, 2018In 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.
Nancy S. S. Gu, Li-Jun Hao
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