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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

Zeta Function Finite Field Dirichlet Series Arithmetic Progression Counting Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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