Gabriel F. Lipnik

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20212023

most citedAsymptotic Analysis of q-Recursive Sequences

6 citations · 15 across the 6 of their papers we have counts for

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math.NT2022★ 2 cited

Large Subsets of $Z_{m}^{n}$ without Arithmetic Progressions

Christian Elsholtz, Benjamin Klahn, Gabriel F. Lipnik

For integers $m$ and $n$ , we study the problem of finding good lower bounds for the size of progression-free sets in $(Z_{m}^{n}, +)$ . Let $r_{k} (Z_{m}^{n})$ denot…

math.NT2022★ 5 cited

A Central Limit Theorem for Integer Partitions into Small Powers

Gabriel F. Lipnik, Manfred G. Madritsch, Robert F. Tichy

The study of the well-known partition function $p (n)$ counting the number of solutions to $n = a_{1} + \dots + a_{ℓ}$ with integers $1 \leq a_{1} \leq \dots \leq a_{ℓ}$ has a…

Large Subsets of Zmn​ without Arithmetic Progressions

A Central Limit Theorem for Integer Partitions into Small Powers

Large Subsets of $Z_{m}^{n}$ without Arithmetic Progressions