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On the distribution of spacings between zeros of the zeta function

On the distribution of spacings between zeros of the zeta function

A numerical study of the distribution of spacings between zeros of the Riemann zeta function is presented. It is based on values for the first<inline-formula content-type="math/mathml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="10 Superscript 5"><mml:semantics><mml:mrow class="MJX-TeXAtom-ORD"><mml:msup><mml:mn>10</mml:mn><mml:mn>5</mml:mn></mml:msup></mml:mrow><mml:annotation encoding="application/x-tex">{10^5}</mml:annotation></mml:semantics></mml:math></inline-formula>zeros and for zeros number<inline-formula content-type="math/mathml"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="10 Superscript 12 Baseline plus 1"><mml:semantics><mml:mrow><mml:mrow class="MJX-TeXAtom-ORD"><mml:msup><mml:mn>10</mml:mn><mml:mrow class="MJX-TeXAtom-ORD"><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:annotation encoding="application/x-tex">{10^{12}} + 1</mml:annotation></mml:semantics></mml:math></inline-formula>to<inline-formula content-type="math/mathml"><mml:math …