Reminder

In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:

    Austrian Science Fund (FWF): W1230

For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!

Project 6:
Polynomial Diophantine equations - combinatorial and number theoretic aspects

2011
[11]Horst Brunotte, Peter Kirschenhofer and Jörg M. Thuswaldner, Shift radix systems for Gaussian integers and Peth\H o's loudspeaker, Publicationes Mathematicae Debrecen, 79(3-4), 341-356, (2011). [bibtex] [doi]
2014
[10]Johann Blieberger and Peter Kirschenhofer, Generalized Catalan sequences originating from the analysis of special data structures, Bulletin of the Institute of Combinatorics and its Applications, 71, 103–116, (2014). [bibtex]
[9]Peter Kirschenhofer, Peter J. Larcombe and Eric J. Fennessey, The asymptotic form of the sum $\sum_{i=0}^n i^p \binom{n+i}{i}$: two proofs, Utilitas Mathematica, 93, 3-23, (2014). [bibtex] [url]
[8]Peter Kirschenhofer and Jörg M. Thuswaldner, Shift radix systems - a survey, Chapter in Numeration and substitution 2012, Res. Inst. Math. Sci. (RIMS), Kyoto, B46, 1-59, (2014). [bibtex] [url]
2015
[7]Wilfried Imrich, Simon M. Smith, Thomas W. Tucker and Mark E. Watkins, Infinite motion and 2-distinguishability of graphs and groups, Journal of Algebraic Combinatorics, 41(1), 109–122, (2015). [bibtex] [doi]
[6]Wilfried Imrich, Simon M. Smith, Thomas W. Tucker and Mark E. Watkins, Erratum to: Infinite motion and 2-distinguishability of graphs and groups, Journal of Algebraic Combinatorics, 41(1), 123, (2015). [bibtex] [doi]
[5]Peter Kirschenhofer and Mario Weitzer, A number theoretic problem on the distribution of polynomials with bounded roots, Integers, 15, A10:1-10, (2015). [bibtex] [pdf]
[4]Atilla Peth\H o, Peter Varga and Mario Weitzer, On shift radix systems over imaginary quadratic Euclidean domains, Acta Cybernetica, 22(2), 485–498, (2015). [bibtex] [doi]
[3]Mario Weitzer, Characterization algorithms for shift radix systems with finiteness property, International Journal of Number Theory, 11(1), 211–232, (2015). [bibtex] [doi]
[2]Mario Weitzer, On the characterization of Peth\H o's Loudspeaker, Publicationes Mathematicae Debrecen, 87(1–2), (2015). [bibtex] [doi]
[1]Mario Weitzer, Shift Radix Systems and Their Generalizations, PhD thesis, MU Leoben, (2015). [bibtex] [pdf]