Spirals of the Zeta Function I

Steven M. Gonek () and Hugh L. Montgomery ()
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Steven M. Gonek: University of Rochester, Department of Mathematics
Hugh L. Montgomery: University of Michigan, Department of Mathematics

A chapter in Analytic Number Theory, 2015, pp 127-131 from Springer

Abstract: Abstract Assuming RH, it is shown that the curve ζ ( 1 ∕ 2 + i t ) $$\zeta (1/2 + it)$$ spirals in the clockwise direction for all sufficiently large t, in the sense that its curvature is negative.

Date: 2015
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DOI: 10.1007/978-3-319-22240-0_9

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