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

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Showing 2015Show all

2 papers · 1 filter

math.NT2015★ 2 cited

Forbidden integer ratios of consecutive power sums

Ioulia N. Baoulina, Pieter Moree

Let $S_{k} (m) := 1^{k} + 2^{k} + \dots + (m - 1)^{k}$ denote a power sum. In 2011 Bernd Kellner formulated the conjecture that for $m \geq 4$ the ratio $S_{k} (m + 1) / S_{k} (m)$ of two consecutive power sums…

math.NT2015★ 2 cited

Solutions of equations over finite fields: enumeration via bijections

Ioulia N. Baoulina

We present a simple proof of the well-known fact concerning the number of solutions of diagonal equations over finite fields. In a similar manner, we give an alternative proof of t…