B. Nica

collaborators

3 papers

math.NT2026

Counting in Vieta graphs over $F_{p}$

Bogdan Nica

We introduce and study a finite simple graph of algebraic origin: the Vieta graph on the solution set over $F_{p}$ to a symmetric, multivariate equation which is quadratic i…

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 $F_{p}$ 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…

Counting in Vieta graphs over Fp​

On quadratic character sums over quartics

Variance of point-counts for families of cubic curves over Fp​ and Jacobsthal sums

Counting in Vieta graphs over $F_{p}$

Variance of point-counts for families of cubic curves over $F_{p}$ and Jacobsthal sums