B. Nica

activity

20032026

most citedCubulating spaces with walls

96 citations · 190 across the 18 of their papers we have counts for

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4 papers · 1 filter

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…

math.NT2019

Kloosterman sums over finite Frobenius rings

Bogdan Nica

We study Kloosterman sums in a generalized ring-theoretic context, that of finite commutative Frobenius rings. We prove a number of identities for twisted Kloosterman sums, loosely…

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

Kloosterman sums over finite Frobenius rings

Counting in Vieta graphs over $F_{p}$

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