Ioulia N. Baoulina

activity

20152018

most citedA generalization of the theorems of Chevalley-Warning and Ax-Katz via polynomial substitutions

4 citations · 16 across the 11 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.NT2016

On two problems of Carlitz and their generalizations

Ioulia N. Baoulina

Let $N_{q}$ be the number of solutions to the equation $(a_{1} x_{1}^{m_{1}} + \dots + a_{n} x_{n}^{m_{n}})^{k} = b x_{1}^{k_{1}} \dots x_{n}^{k_{n}}$ over the finite field $F_{q} = F_{p^{s}}$ .…

math.NT2016★ 2 cited

Deleting digits

Ioulia N. Baoulina, Martin Kreh, Jörn Steuding

In 2000, J. Shallit introduced a special partial ordering of a subset of positive integers and proposed the problem of finding the set of minimal elements with respect to this orde…

math.NT2016

On period polynomials of degree $2^{m}$ for finite fields

Ioulia N. Baoulina

We obtain explicit factorizations of reduced period polynomials of degree $2^{m}$ , $m \geq 4$ , for finite fields of characteristic $p \equiv 3$ or $5 (mod 8)$ . This extends the results…

math.NT2016★ 3 cited

On a class of diagonal equations over finite fields

Ioulia N. Baoulina

Using properties of Gauss and Jacobi sums, we derive explicit formulas for the number of solutions to a diagonal equation of the form $x_{1}^{2^{m}} + \dots + x_{n}^{2^{m}} = 0$ over a finite fi…

On two problems of Carlitz and their generalizations

Deleting digits

On period polynomials of degree 2m for finite fields

On a class of diagonal equations over finite fields

On period polynomials of degree $2^{m}$ for finite fields