There is an interesting link between universality and the zero-distribution. As we will show in this chapter, the question whether the zeta-function can approximate itself in the right half of the critical strip turns out to be equivalent to the Riemann hypothesis. This reformulation dates back to Bohr [30] who proved its analogue for Dirichlet L-functions to non-principal characters. Bagchi [9] extended this result to the Riemann zeta-function. We shall also consider further generalizations.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). The Riemann Hypothesis. In: Value-Distribution of L-Functions. Lecture Notes in Mathematics, vol 1877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44822-8_8
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DOI: https://doi.org/10.1007/978-3-540-44822-8_8
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