The Critical Zeros of Zeta Functions

Michel L. Lapidus () and Machiel van Frankenhuysen ()
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Michel L. Lapidus: University of California, Department of Mathematics
Machiel van Frankenhuysen: University of California, Department of Mathematics

Chapter 9 in Fractal Geometry and Number Theory, 2000, pp 181-196 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1007/978-1-4612-5314-3_10

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