Abstract
A program of proving the Riemann hypothesis by using the Fourier analysis on global fields is given by Connes (1999). The difficulty for realizing the program lies in proving the validity of Connes’ global trace formula on an L 2-space. In this paper, a new global trace formula is obtained on a Fréchet space which gives the Weil distribution Δ(h).
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Li, XJ. On Weil’s explicit formula. Sci. China Math. 58, 915–982 (2015). https://doi.org/10.1007/s11425-015-4989-1
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DOI: https://doi.org/10.1007/s11425-015-4989-1