Geodesic
On large distances between neighbouring zeros of the Riemann zeta-function
Diskretnaya Matematika, Tome 22 (2010) no. 3, pp. 75-82

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A new estimate of the number of zeros $\varrho_n=\beta_n+i\gamma_n$ of the Riemann zeta-function with ordinates $\gamma_n$ belonging to a given interval and for which the distance to the next zero is sufficiently large in comparison with the mean value $2\pi(\ln(\gamma_n/(2\pi)))^{-1}$ is obtained. 
@article{DM_2010_22_3_a6,
     author = {R. N. Boyarinov},
     title = {On large distances between neighbouring zeros of the {Riemann} zeta-function},
     journal = {Diskretnaya Matematika},
     pages = {75--82},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2010_22_3_a6/}
}
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R. N. Boyarinov. On large distances between neighbouring zeros of the Riemann zeta-function. Diskretnaya Matematika, Tome 22 (2010) no. 3, pp. 75-82. http://geodesic.mathdoc.fr/item/DM_2010_22_3_a6/