Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6426208 | Indagationes Mathematicae | 2015 | 13 Pages |
Abstract
We are concerned here with Dirichlet series f(s)=1+ân=2âc(n)ns which satisfy a function equation similar to that of the Riemann zeta function, typically of the form f(s)=2sq1/2âsÏsâ1Î(1âs)(sinÏ2(s+κ))f(1âs), but for which the Riemann hypothesis is false. Indeed we show that the zeros of such functions are ubiquitous in the complex plane.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
R.C. Vaughan,