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      Asymptotics For Local Solubility Of Diagonal Quadrics Over A Split Quadric Surface

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          Abstract

          We prove asymptotics for the density of everywhere locally soluble diagonal quadric surfaces parameterised by rational points on the split quadric surface y_0y_1=y_2y_3 which do not satisfy -y_0y_1=\square nor -y_0y_3=\square.

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          Journal
          17 April 2024
          Article
          2404.11489
          eee2a27f-fb10-4b8d-8007-25bf2931ebef

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          14G05 (Primary) 11A25, 11D09, 11G99, 11L40 (Secondary)
          97 pages. Comments Welcome
          math.NT

          Number theory
          Number theory

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