Geodesic
On a~Linear Form in the Ordinates of Zeros of the Riemann Zeta Function
Matematičeskie zametki, Tome 115 (2024) no. 1, pp. 137-155

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We obtain an asymptotic formula for the sum $$ H=\sum_{0\gamma_k\leqslant T,\,1\leqslant k\leqslant 4}h(\gamma_1+\gamma_2-\gamma_3-\gamma_4), $$ where the $\gamma_k$ run over the imaginary parts of nontrivial zeros of the Riemann zeta function with multiplicities taken into account and the function $h$ belongs to some special class of functions in $L^1(\mathbb R)$.
Keywords: Riemann zeta function, repulsion phenomenon. 
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     author = {E. D. Iudelevich},
     title = {On {a~Linear} {Form} in the {Ordinates} of {Zeros} of the {Riemann} {Zeta} {Function}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {137--155},
     publisher = {mathdoc},
     volume = {115},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2024_115_1_a9/}
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E. D. Iudelevich. On a~Linear Form in the Ordinates of Zeros of the Riemann Zeta Function. Matematičeskie zametki, Tome 115 (2024) no. 1, pp. 137-155. http://geodesic.mathdoc.fr/item/MZM_2024_115_1_a9/