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 2018Show all

2 papers · 1 filter

math.NT2018

Integer ratios of consecutive alternating power sums

Ioulia N. Baoulina

We give a characterization of all pairs $(k, n)$ of positive integers for which the ratio $\frac{1 ^{k} - 2 ^{k} + 3 ^{k} - \dots + ( - 1 ) ^{n + 1} n ^{k}}{1 ^{k} - 2 ^{k} + 3 ^{k} - \dots + ( - 1 ) ^{n} ( n - 1 ) ^{k}}$ of two con…

math.NT2018★ 1 cited

On the unsolvability of certain equations of Erdős-Moser type

Ioulia N. Baoulina

Let $S_{k} (m) := \sum_{j = 1}^{m - 1} j^{k}$ denote a power sum. In 2011, Kellner proposed the conjecture that for $m > 3$ the ratio $S_{k} (m + 1) / S_{k} (m)$ is never an integer, or, equivalently, tha…