{"paper":{"title":"On sums of squares of $|\\zeta(\\frac12+i\\gamma)|$ over short intervals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Aleksandar Ivi\\'c","submitted_at":"2018-01-04T09:47:22Z","abstract_excerpt":"A discussion involving the evaluation of the sum $$\\sum_{T<\\g\\le T+H}|\\zeta(1/2+i\\gamma)|^2$$ and some related integrals is presented, where $\\gamma\\,(>0)$ denotes imaginary parts of complex zeros of the Riemann zeta-function $\\zeta(s)$. It is shown unconditionally that the above sum is $\\,\\ll H\\log^2T\\log\\log T\\,$ for $\\,T^{2/3}\\log^4T \\ll H \\le T$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01289","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}