An analytic proof of an evaluation theorem for the "convolution"-type double L-values of non-principal characters is given. Along the way, Dirichlet character analogues of generalized single and double polylogarithms are defined. The monodromies of these functions play a pivotal role.
机构:
Tokyo Metropolitan Coll, Dept Management Informat, Akishima, Tokyo 1968540, JapanTokyo Metropolitan Coll, Dept Management Informat, Akishima, Tokyo 1968540, Japan
机构:
Nagoya Univ, Grad Sch Math, Chikusa Ku, Furo Cho, Nagoya, Aichi 4648602, JapanNagoya Univ, Grad Sch Math, Chikusa Ku, Furo Cho, Nagoya, Aichi 4648602, Japan
Furusho, Hidekazu
GALOIS-TEICHMUELLER THEORY AND ARITHMETIC GEOMETRY,
2012,
63
: 163
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187