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Abstract We show that if the Riemann Hypothesis is true for the Riemann zeta-function, ζ ( s ) , and 0 a 1 / 2 , then all but a… Click to show full abstract
Abstract We show that if the Riemann Hypothesis is true for the Riemann zeta-function, ζ ( s ) , and 0 a 1 / 2 , then all but a finite number of the zeros of ℜ ζ ( a + i t ) , ℑ ζ ( a + i t ) , and similar functions are simple. We also study the pair correlation of the zeros of these functions assuming the Riemann Hypothesis is true and 0 a ≤ 1 / 2 .
Keywords:
zeta function;
pair correlation;
correlation zeros;
riemann zeta
Journal Title: Journal of Number Theory
Year Published: 2017
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Journal Title: Journal of Number Theory
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!