TY - JOUR
T1 - Gamma and sine functions for Lie groups and period integrals
AU - Kurokawa, Nobushige
AU - Wakayama, Masato
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/12/19
Y1 - 2005/12/19
N2 - We study gamma and sine functions attached to a finite dimensional linear representation of a Lie group including their multiple versions via zeta regularizations. These definitions allow us to understand several multiple gamma and sine functions known so far, such as Barnes' gamma functions, Shintani's sine functions, and their q-analogues, in a unified way. Further, we discuss period integrals for such gamma functions.
AB - We study gamma and sine functions attached to a finite dimensional linear representation of a Lie group including their multiple versions via zeta regularizations. These definitions allow us to understand several multiple gamma and sine functions known so far, such as Barnes' gamma functions, Shintani's sine functions, and their q-analogues, in a unified way. Further, we discuss period integrals for such gamma functions.
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U2 - 10.1016/S0019-3577(05)80041-2
DO - 10.1016/S0019-3577(05)80041-2
M3 - Article
AN - SCOPUS:33646704518
SN - 0019-3577
VL - 16
SP - 585
EP - 607
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 3-4
ER -