Year: 2025
Type: preprint
Abstract: We derive an asymptotic formula for the sum $$ H = \sum_{0<γ_k\leqslant T,\, 1\leqslant k\leqslant m}h(a_1γ_1+a_2γ_2+\cdots + a_mγ_m), $$ where $a_1, a_2, \ldots, a_m$ are integers whose sum equals zero, $γ_1, \ldots, γ_m$ independently run through the imaginary parts of the non-trivial zeros of the Riemann zeta function, each zero occuring in the sum the number of times of its multiplicity, and the function $h$ belongs to some special class.
Source: arXiv (Cornell University)
Authors: Iudelevich, Elizaveta D., Iudelevich, Vitalii V.
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7078545182
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