The Seventh European Conference on Combinatorics, Graph Theory and Applications 2013
DOI: 10.1007/978-88-7642-475-5_33
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Conic theta functions and their relations to theta functions

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Cited by 2 publications
(2 citation statements)
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“…We hope to return to this problem in our future publications, at least for the A 2 root lattice for all values of ǫ 1 and ǫ 2 . (2) Note that our formula for regularized quantum dimensions (25) is closely related to quantum dimension formulas for the WZW model of ADE-type. More generally, it is known that for an affine Kac-Moody Lie algebra of type X…”
Section: Discussionmentioning
confidence: 86%
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“…We hope to return to this problem in our future publications, at least for the A 2 root lattice for all values of ǫ 1 and ǫ 2 . (2) Note that our formula for regularized quantum dimensions (25) is closely related to quantum dimension formulas for the WZW model of ADE-type. More generally, it is known that for an affine Kac-Moody Lie algebra of type X…”
Section: Discussionmentioning
confidence: 86%
“…The most prominent example is arguably the crank partition [3]. We also point out conical theta functions recently studied in [25]. Of course, "rank one" partial and false theta had appeared much earlier starting in the works of Rogers and of Ramanujan in connection to q-hypergeometric identities (see [1,34]).…”
mentioning
confidence: 97%