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math-ph2003★ 43 cited
Quantum Knot Invariant for Torus Link and Modular Forms
Kazuhiro Hikami
We consider an asymptotic expansion of Kashaev's invariant or the colored Jones function for the torus link T(2,2m). We shall give q-series identity related to these invariants, an…
math.NT2003★ 43 cited
q-series and L-functions related to half-derivatives of the Andrews--Gordon identity
Kazuhiro Hikami
Studied is a generalization of Zagier's q-series identity. We introduce a generating function of L-functions at non-positive integers, which is regarded as a half-differential of t…