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I have some questions with Maier's theorem

  1. If $1 < \lambda < 2$, then what?

  2. If $x+(\log x)^\lambda = x^{1+1/\pi(x)}$, then what?

  3. In particular, if $\lambda = 0.525\log x/(\log\log x)$, then what? (see A result, due to Baker, Harman and Pintz in 2001, shows that θ may be taken to be 0.525. )

ABcDexter
  • 620
  • Re 1: If $1 < \lambda < 2$, the theorem applies. – Hans Engler Mar 28 '15 at 02:48
  • Well, what does that mean? I look at the numerator as being a interval just like if the RHS of 2. was the numerator. So, I do not get the statement of how the theorem is applied or what it means. – John Nicholson Mar 28 '15 at 02:56

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