"5th order mock theta functions"의 두 판 사이의 차이

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-==introduction==
-:<math>f_0(q) = \sum_{n\ge 0} {q^{n^2}\over (-q;q)_{n}}</math>
-:<math>f_1(q) = \sum_{n\ge 0} {q^{n^2+n}\over (-q;q)_{n}}</math>
-:<math>\phi_0(q) = \sum_{n\ge 0} {q^{n^2}(-q;q^2)_{n}}</math>
-:<math>\phi_1(q) = \sum_{n\ge 0} {q^{(n+1)^2}(-q;q)_{n}}</math>
-:<math>\psi_0(q) = \sum_{n\ge 0} {q^{(n+1)(n+2)/2}(-q;q)_{n}}</math>
-:<math>\psi_1(q) = \sum_{n\ge 0} {q^{n(n+1)/2}(-q;q)_{n}}</math>
-:<math>\chi_0(q) = \sum_{n\ge 0} {q^{n}\over (q^{n+1};q)_{n}} = 2F_0(q)-\phi_0(-q)</math>
-:<math>\chi_1(q) = \sum_{n\ge 0} {q^{n}\over (q^{n+1};q)_{n+1}} = 2F_1(q)+q^{-1}\phi_1(-q)</math>
-:<math>F_0(q) = \sum_{n\ge 0} {q^{2n^2}\over (q;q^2)_{n}}</math>
-:<math>F_1(q) = \sum_{n\ge 0} {q^{2n^2+2n}\over (q;q^2)_{n+1}}</math>
-:<math>\Psi_0(q) =  -1 + \sum_{n \ge 0} { q^{5n^2}\over(1-q)(1-q^4)(1-q^6)(1-q^9)...(1-q^{5n+1})}</math>
-:<math>\Psi_1(q) = -1 + \sum_{n \ge 0} { q^{5n^2}\over(1-q^2)(1-q^3)(1-q^7)(1-q^8)...(1-q^{5n+2}) }</math>
-==related items==
-* [[WRT (Witten-Reshetikhin-Turaev) invariant]]
-==articles==
-* Nickolas Andersen, Vector-valued modular forms and the Mock Theta Conjectures, arXiv:1604.05294 [math.NT], April 18 2016, http://arxiv.org/abs/1604.05294
-* G.E. Andrews, [http://www.jstor.org/stable/2000275 The fifth and seventh order mock theta functions]. Trans. Amer. Math. Soc. 293 (1986), pp. 113–134
-* <cite class="" id="CITEREFAndrews1988" style="line-height: 2em; font-style: normal;">Andrews, George E. (1988), "Ramanujan's fifth order mock theta functions as constant terms", <em style="line-height: 2em;">Ramanujan revisited (Urbana-Champaign, Ill., 1987)</em>,</cite>
-* Basil Gordon and Richard J. Mcintosh [http://www.springerlink.com/content/l5444w8085367833/?p=220d154603944b58b52d6566cbcbe9c3&pi=16 Modular Transformations of Ramanujan's Fifth and Seventh Order Mock Theta Functions], 2003
-[[분류:개인노트]]
-[[분류:math and physics]]
-[[분류:mock modular forms]]
-[[분류:math]]

"5th order mock theta functions"의 두 판 사이의 차이

2020년 11월 13일 (금) 00:11 판

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