43 citations · 280 across the 10 of their papers we have counts for
Showing 2004 · math-phShow all
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math-ph2004★ 21 cited
Quantum Invariant, Modular Form, and Lattice Points
Kazuhiro Hikami
We study the Witten--Reshetikhin--Turaev SU(2) invariant for the Seifert manifold with 4-singular fibers. We define the Eichler integrals of the modular forms with half-integral we…
math-ph2004★ 1 cited
Hypergeometric Generating Function of L-function, Slater's Identities, and Quantum Invariant
Kazuhiro Hikami, Anatol N. Kirillov
We study certain connections between the quantum invariants of the torus knots T_{3,2^k} and some q-series identities. In particular, we obtain new generalizations of Slater's iden…
math-ph2004★ 29 cited
On the Quantum Invariant for the Brieskorn Homology Spheres
Kazuhiro Hikami
We study an exact asymptotic behavior of the Witten-Reshetikhin-Turaev invariant for the Brieskorn homology spheres by use of properties of the modular form follow…