Pairs of diagonal quadratic forms and linear correlations among sums of two squares
classification
🧮 math.NT
keywords
correlationsdiagonalformslinearpairsquadraticsquaressums
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For suitable pairs of diagonal quadratic forms in 8 variables we use the circle method to investigate the density of simultaneous integer solutions and relate this to the problem of estimating linear correlations among sums of two squares.
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