Large gaps between consecutive zeros of the Riemann zeta-function
classification
🧮 math.NT
keywords
gapsriemannconsecutivelargezeroszeta-functionassumingaverage
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Combining the mollifiers, we exhibit other choices of coefficients that improve the results on large gaps between the zeros of the Riemann zeta-function. Precisely, assuming the Generalized Riemann Hypothesis (GRH), we show that there exist infinitely many consecutive gaps greater than 3.033 times the average spacing.
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