Zeta invariants for sequences of spectral type, special functions and the Lerch formula
We discuss the spectral properties of a class of sequences of what we call ‘spectral’ type. We introduce an effective method to calculate the zeta invariants for this type of sequence. Such invariants are given in terms of some new and old special functions, and we consider a number of examples in w...
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| Veröffentlicht in: | Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2006-08, Vol.136 (4), p.863-887 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We discuss the spectral properties of a class of sequences of what we call ‘spectral’ type. We introduce an effective method to calculate the zeta invariants for this type of sequence. Such invariants are given in terms of some new and old special functions, and we consider a number of examples in which we study the properties of these special functions. |
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| ISSN: | 0308-2105 1473-7124 |
| DOI: | 10.1017/S0308210500004777 |