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 2017Show all

3 papers · 1 filter

math.NT2017★ 4 cited

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

Ioulia N. Baoulina, Anurag Bishnoi, Pete L. Clark

We give conditions under which the number of solutions of a system of polynomial equations over a finite field F_q of characteristic p is divisible by p. Our setup involves the sub…

math.NT2017★ 1 cited

On a theorem of Morlaye and Joly and its generalization

Ioulia N. Baoulina

We show that a weaker version of the well-known theorem of Morlaye and Joly on diagonal equations is a simple consequence of a restricted variable version of the Chevalley-Warning…

math.NT2017★ 1 cited

On period polynomials of degree $2^{m}$ and weight distributions of certain irreducible cyclic codes

Ioulia N. Baoulina

We explicitly determine the values of reduced cyclotomic periods of order $2^{m}$ , $m \geq 4$ , for finite fields of characteristic $p \equiv 3$ or $5 (mod 8)$ . These evaluations are app…

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

On a theorem of Morlaye and Joly and its generalization

On period polynomials of degree 2m and weight distributions of certain irreducible cyclic codes

On period polynomials of degree $2^{m}$ and weight distributions of certain irreducible cyclic codes