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
[13]Horst Brunotte, Peter Kirschenhofer and Jörg M. Thuswaldner, Shift radix systems for Gaussian integers and Peth\Ho's loudspeaker, Publicationes Mathematicae Debrecen, 79(3-4), 341-356, (2011). [bibtex] [doi]
2014
[12]Blieberger, Johann and Kirschenhofer, Peter, Generalized Catalan sequences originating from the analysis of special data structures, Bull. Inst. Combin. Appl., 71, 103–116, (2014). [bibtex]
[11]Peter Kirschenhofer and Jörg M. Thuswaldner, Shift radix systems - a survey, Chapter in Numeration and substitution 2012, Res. Inst. Math. Sci. (RIMS), Kyoto, 1-59, (2014). [bibtex]
[10]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]
[9]Johannes Cuno, Wilfried Imrich and Florian Lehner, Distinguishing graphs with infinite motion and nonlinear growth, Ars Mathematica Contemporanea, 7(1), 201-213, (2014). [bibtex] [url]
[8]Wilfried Imrich, Rafał Kalinowski and Florian Lehner, Endomorphism breaking in graphs, Electronic Journal of Combinatorics, 21, P1.16, 13pp., (2014). [bibtex] [url]
2015
[7]Imrich, Wilfried, Smith, Simon M., Tucker, Thomas W. and Watkins, Mark E., Infinite motion and 2-distinguishability of graphs and groups, J. Algebraic Combin., 41(1), 109–122, (2015). [bibtex] [doi]
[6]Imrich, Wilfried, Smith, Simon M., Tucker, Thomas W. and Watkins, Mark E., Erratum to: Infinite motion and 2-distinguishability of graphs and groups, J. Algebraic Combin., 41(1), 123, (2015). [bibtex] [doi]
[5]Kirschenhofer, Peter and Weitzer, Mario, A number theoretic problem on the distribution of polynomials with bounded roots, Integers, 15, Paper No. A10, 10, (2015). [bibtex]
[4]Peth\H o, Atilla, Varga, Peter and Weitzer, Mario, On shift radix systems over imaginary quadratic Euclidean domains, Acta Cybernet., 22(2), 485–498, (2015). [bibtex] [doi]
[3]Weitzer, Mario, Characterization algorithms for shift radix systems with finiteness property, Int. J. Number Theory, 11(1), 211–232, (2015). [bibtex] [doi]
[2]Weitzer, Mario, On the characterization of Peth\Ho's Loudspeaker, Publ. Math. Debrecen, 87(1–2), (2015). [bibtex] [doi]
[1]Mario Weitzer, Shift Radix Systems and Their Generalizations, PhD thesis, MU Leoben, (2015). [bibtex] [pdf]