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Sign changes in the prime number theorem |
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| Authors: | Morrill Thomas Platt Dave Trudgian Tim |
| Institution: | 1.Department of Mathematics and Physics, Trine University, Angola, USA ;2.School of Mathematics, University of Bristol, Bristol, UK ;3.School of Science, The University of New South Wales Canberra, Campbell, Australia ; |
| Abstract: | The Ramanujan Journal - Let V(T) denote the number of sign changes in $$\psi (x) - x$$ for $$x\in 1, T]$$ . We show that $$\liminf _{T\rightarrow \infty } V(T)/\log T\ge \gamma _{1}/\pi +... |
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