Publications

Papers

  1. Gabriel F. Lipnik, Manfred G. Madritsch and Robert F. Tichy, A Central Limit Theorem for Integer Partitions into Small Powers, Monatsh. Math., vol. 203, pp. 149–173, 2024.

  2. Christian Elsholtz and Gabriel F. Lipnik, Exponentially Larger Affine and Projective Caps, Mathematika, vol. 69, pp. 232–249, 2023.

  3. Christian Elsholtz, Benjamin Klahn and Gabriel F. Lipnik, Large Subsets of $\mathbb{Z}_m^n$ without Arithmetic Progressions, Des. Codes Cryptogr., vol. 91, pp. 1443–1352, 2023.

  4. Clemens Heuberger, Daniel Krenn and Gabriel F. Lipnik, Asymptotic Analysis of $q$-Recursive Sequences, Algorithmica, vol. 84, pp. 2480–2532, 2022.


Software


Academic Theses

  1. Gabriel F. Lipnik, On Integer Partitions, Caps, Progression-Free Sets and q-Regular Sequences, PhD thesis, Graz University of Technology, 2023. Supervised by Christian Elsholtz and Robert F. Tichy.

  2. Gabriel F. Lipnik, Asymptotic Analysis of $q$-Recursive Sequences: General Study and Selected Combinatorial Sequences, Master Thesis, University of Klagenfurt, 2019. Supervised by Daniel Krenn.

  3. Gabriel F. Lipnik, On the Boundedness of $q$-Regular Sequences, Bachelor Thesis, University of Klagenfurt, 2017. Supervised by Daniel Krenn.