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Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

As we saw in Chapter 10, the complex dimensions of a generalized Cantor string form an arithmetic progression D + inpn∈ℤ, with 0 < D < 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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© 2006 Springer Science+Business Media, LLC

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(2006). The Critical Zeros of Zeta Functions. In: Fractal Geometry, Complex Dimensions and Zeta Functions. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-35208-4_12

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