Zeta determinant for double sequences of spectral type

Spreafico, M.

doi:10.1090/S0002-9939-2011-11061-X

Zeta determinant for double sequences of spectral type
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Proc. Amer. Math. Soc. 140 (2012), 1881-1896 Request permission

Abstract:

We study the spectral functions, and in particular the zeta function, associated to a class of sequences of complex numbers, called of spectral type. We investigate the decomposability of the zeta function associated to a double sequence with respect to some simple sequence, and we provide a technique for obtaining the first terms in the Laurent expansion at zero of the zeta function associated to a double sequence.

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