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A family of deformations of the Riemann xi-function

Masatoshi Suzuki (2013)

Acta Arithmetica

We introduce a family of deformations of the Riemann xi-function endowed with two continuous parameters. We show that it has rich analytic structure and that its conjectural (mild) zero-free region for some fixed parameter is a sufficient condition for the Riemann hypothesis to hold for the Riemann zeta function.

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