Abstract
As we saw in the previous chapter, the complex dimensions of a generalized Cantor string form an arithmetic progression {D + inp}n∈ℤ (for D ∈ (0,1) and p > 0). In this chapter, we use this fact to study arithmetic progressions of critical zeros of zeta functions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Birkhäuser Boston
About this chapter
Cite this chapter
Lapidus, M.L., van Frankenhuysen, M. (2000). The Critical Zeros of Zeta Functions. In: Fractal Geometry and Number Theory. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5314-3_10
Download citation
DOI: https://doi.org/10.1007/978-1-4612-5314-3_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-5316-7
Online ISBN: 978-1-4612-5314-3
eBook Packages: Springer Book Archive