On the geometry of the Titchmarsh counterexample
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IOP Publishing
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Abstract
We study the lines of constant phase corresponding to the ratio formed by the building blocks of the Titchmarsh counterexample, that is by two Dirichlet L-functions whose characters are the complex conjugate of each other. This ratio on the critical line is sensitive to zeros off the critical line.
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Riemann zeta function, Titchmarsh counterexample, lines of constant phase, lines of constant height
Citation
Journal of Physics A: Mathematical and Theoretical. 2022, vol. 55, issue 48, art. no. 484006.