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MR1800067 (2001k:58067) 58J52 (58J32)
Scott, S. G.; Wojciechowski, K. P. The $\zeta$-determinant and Quillen determinant for a Dirac operator on a manifold with boundary. Geom. Funct. Anal. 10 (2000), no. 5, 1202--1236.
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