c(p) satisfies inf c(p) = 0 with min up to x of order 1/log log x, its limiting distribution is singular continuous of Hausdorff dimension zero with full support on [0, 1/2], and 1/c(p) equals the expected rejection overhead for PRIM-LWE.
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Primitive-Root Ratio over Prime Fields: A Shifted-Prime Distribution of Hausdorff Dimension Zero and Implications for PRIM-LWE
c(p) satisfies inf c(p) = 0 with min up to x of order 1/log log x, its limiting distribution is singular continuous of Hausdorff dimension zero with full support on [0, 1/2], and 1/c(p) equals the expected rejection overhead for PRIM-LWE.