Publications
Papers
Clemens Heuberger, Daniel Krenn and Gabriel F. Lipnik, A Note on the Relation between Recognisable Series and Regular Sequences, and their Minimal Linear Representations, J. Symbolic Comput., vol. 123, 2024.
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.
Christian Elsholtz and Gabriel F. Lipnik, Exponentially Larger Affine and Projective Caps, Mathematika, vol. 69, pp. 232–249, 2023.
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.
Clemens Heuberger, Daniel Krenn and Gabriel F. Lipnik, Asymptotic Analysis of $q$-Recursive Sequences, Algorithmica, vol. 84, pp. 2480–2532, 2022.
Software
Daniel Krenn and Gabriel F. Lipnik, $k$-regular Sequences in SageMath, module in SageMath 9.4. https://trac.sagemath.org/ticket/21202, 2021.
Academic Theses
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.
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.
Gabriel F. Lipnik, On the Boundedness of $q$-Regular Sequences, Bachelor Thesis, University of Klagenfurt, 2017. Supervised by Daniel Krenn.
Recent Posts
- Promotio sub Auspiciis and Ring Ceremony with the Federal President of Austria (20-03-2024)
- Research Stay @ Nancy, France (29-09-2022)
- Summer School @ Park City, USA (20-08-2022)
- Research Stay @ Nancy, France (15-03-2022)
- Talk @ Probability and Combinatorics Seminar in Uppsala (09-12-2021)
- (Nearly) Perfect Secret Santa (03-12-2021)
- On a Special Kind of Prime Numbers (31-03-2021)
- Talk @ Doctoral Seminar (15-01-2021)