Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-17T00:11:06.340Z Has data issue: false hasContentIssue false
  • English
  • Français

Zeta invariants for sequences of spectral type, special functions and the Lerch formula

Published online by Cambridge University Press:  12 July 2007

Mauro Spreafico
Mauro Spreafico
Affiliation:
Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, 13560-970 São Carlos, Brazil (mauros@icmc.usp.br)
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 4 , August 2006 , pp. 863 - 887
Copyright
Copyright © Royal Society of Edinburgh 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)