Volume Conjecture and Asymptotic Expansion ofq-Series

DOI10.1080/10586458.2003.10504502zbMath1073.57006OpenAlexW2052291803WikidataQ123133510 ScholiaQ123133510MaRDI QIDQ5317278

Kazuhiro Hikami

Publication date: 16 September 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51726

zbMATH Keywords

Jones polynomialhyperbolic volumeRogers-Ramanujan identity

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) General geometric structures on low-dimensional manifolds (57M50)

Related Items

The tail of a quantum spin network, Quantum invariants, modular forms, and lattice points II, Asymptotics of the colored Jones polynomial and the A-polynomial, The volume conjecture and topological strings, \(q\)-series and \(L\)-functions related to half-derivatives of the Andrews-Gordon identity, Rogers-Ramanujan type identities for alternating knots, On the asymptotic expansion of the colored Jones polynomial for torus knots, Proof of the volume conjecture for Whitehead doubles of a family of torus knots, Recurrence relations and asymptotics of colored Jones polynomials, Foundations of the Colored Jones Polynomial of singular knots, COLORED JONES POLYNOMIALS WITH POLYNOMIAL GROWTH, A framework of Rogers-Ramanujan identities and their arithmetic properties, On the quantum invariants for the spherical Seifert manifolds, Hypergeometric generating function of $L$-function, Slater’s identities, and quantum invariant, Rademacher's conjecture and expansions at roots of unity of products generating restricted partitions

Uses Software

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Cites Work

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