Zeta determinant for double sequences of spectral type
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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.References
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Additional Information
- M. Spreafico
- Affiliation: ICMC, Universidade São Paulo, São Carlos, 13556-560 Brazil
- Email: mauros@icmc.usp.br
- Received by editor(s): July 1, 2010
- Received by editor(s) in revised form: February 2, 2011
- Published electronically: October 12, 2011
- Communicated by: Walter Van Assche
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 1881-1896
- MSC (2010): Primary 11M41; Secondary 33E20
- DOI: https://doi.org/10.1090/S0002-9939-2011-11061-X
- MathSciNet review: 2888176