New gap results on the 4‐dimensional sphere
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DOI: 10.1002/mana.201600219
Abstract: A result showed by M. Gursky in ensures that any metric g on the 4†dimensional sphere S4 satisfying Ricg=3g and injg(S4)≥I€34 is isometric to the round metric. In this note, we prove that there… read more here.
Keywords: metric dimensional; round metric; gap results; dimensional sphere ... See more keywords
Trace Formula for Integral Points on the Three-Dimensional Sphere
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DOI: 10.1134/s1064562420010044
Abstract: Abstract Average values over integral points on a three-dimensional sphere with an arbitrary smooth weight function are studied. For them, an expansion of the mean product of two L-series associated with the Hecke basis in… read more here.
Keywords: three dimensional; dimensional sphere; points three; formula integral ... See more keywords