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math.NT2025
On quadratic character sums over quartics
Bogdan Nica
We obtain transformation formulas for quadratic character sums with quartic and cubic polynomial arguments.
math.NT2025
Variance of point-counts for families of cubic curves over and Jacobsthal sums
Bogdan Nica
We give explicit computations for the variance of the number of points along one-parameter families of cubic curves. We highlight evaluations of variances that involve Jacobsthal s…