The Critical Zeros of Zeta Functions

  • Michel L. Lapidus
  • Machiel van Frankenhuysen

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.

Keywords

Tral 

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Copyright information

© Birkhäuser Boston 2000

Authors and Affiliations

  • Michel L. Lapidus
    • 1
  • Machiel van Frankenhuysen
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaRiversideUSA

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