<p>We prove that for any positive integers <i>d</i><sub>1</sub> &lt; … &lt; <i>d</i><sub><i>r</i></sub>, a product of shifts ζ(<i>s</i> + i<i>d</i><sub><i>j</i></sub>τ) of the Riemann zeta function has the universality property in the strip 1<i>/</i>2 <i>&lt;</i> σ<i> &lt;</i> 1.</p>

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Universality for a product of shifts of the Riemann zeta function

  • Hidehiko Mishou

摘要

We prove that for any positive integers d1 < … < dr, a product of shifts ζ(s + idjτ) of the Riemann zeta function has the universality property in the strip 1/2 < σ < 1.