q-SERIES AND L-FUNCTIONS RELATED TO HALF-DERIVATIVES OF THE ANDREWS–GORDON IDENTITY
نویسنده
چکیده
(3) T (n) = 1 2 (−1) L(−2 n − 1, χ12) where χ12(n) is the Dirichlet character with modulus 12 defined by n mod 12 1 5 7 11 others χ12(n) 1 −1 −1 1 0 It was pointed out that the right hand side of eq. (2) is regarded as a half-differential of the Dedekind η-function with weight 1/2. Interesting is that the function X(q) is intimately connected with the knot theory; it is a generating function of an upper bound of the number of linearly independent Vassiliev invariants.
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تاریخ انتشار 2008