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Let $${\sigma + i{\gamma}}$$σ+iγ be a zero of the Riemann zeta function to the right of the line $${\frac{1}{2} + it}$$12+it. We show that this zero causes large oscillations of… Click to show full abstract
Let $${\sigma + i{\gamma}}$$σ+iγ be a zero of the Riemann zeta function to the right of the line $${\frac{1}{2} + it}$$12+it. We show that this zero causes large oscillations of the error term of the prime number theorem. Our result is close to optimal both in terms of the magnitude and in the localization of large values for the error term.
Keywords:
term;
error term;
number theorem;
oscillations error;
term prime;
prime number
Journal Title: Acta Mathematica Hungarica
Year Published: 2018
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Journal Title: Acta Mathematica Hungarica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!