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Higher regularizations of zeros of cuspidal automorphic L -functions of GL d

Masato Wakayama, Yoshinori Yamasaki (2011)

Journal de Théorie des Nombres de Bordeaux

We establish “higher depth” analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic L -functions of GL d over a general number field. This is a generalization of the result of Deninger about the regularized determinant for zeros of the Riemann zeta function.

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