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The Critical Zeros of Zeta Functions

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Fractal Geometry and Number Theory

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.

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© 2000 Birkhäuser Boston

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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

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  • 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

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