o.Univ.Prof.Mag.rer.nat.Dr.phil. Peter Kirschenhofer

Ausgewählte Publikationen

Einführung in die Mathematik für Informatiker, 3 Bände, 2.verbesserte Auflage, Springer Wien-New York, 1992, 1996, mit G.Baron.
A tree enumeration problem involving the asymptotics of the "diagonals" of a power series
Annals of Discrete Math. 33(1986), 157-170.
Deviations from uniformity in random strings
Probab.Th.Rel.Fields 80(1988), 139-150, mit P.Flajolet und R.F.Tichy.
On some applications of formulae of Ramanujan in the analysis of algorithms
Mathematika 38(1991), 14-33, mit H.Prodinger.
Mellin transforms and asymptotics: Digital sums
Theoretical Computer Science 123(1994), 291-314, mit P.Flajolet, P.J.Grabner, H.Prodinger und R.F.Tichy.
The sum of digits function for complex bases
J.London Math.Soc. (2) 57 (1998), 20-40, mit P.J.Grabner und H.Prodinger.
Average case analysis of algorithms - some examples
in: Charlemagne and his Heritage: 1200 Years of Civilization and Science in Europe, Vol.II: The Mathematical Arts, 331-344, P.L.Butzer et al. eds., Brepols, Turnhout 1998.
On analytic and diophantine properties of a family of counting polynomials
Acta Math. Sci. (Szeged) 65 (1999), 63-75, mit A.Pethö und R.F.Tichy.
Diophantine equations and Bernoulli polynomials
Compositio Math. 131 (2002), 173-188, mit Y. Bilu, B. Brindza, Á. Pintér und R. F. Tichy,
with an appendix by A. Schinzel.
Combinatorial and arithmetical properties of linear numeration systems
Combinatorica 22 (2002), 245-267, mit P. J. Grabner and R. F. Tichy.
Diophantine equations between polynomials obeying second order recurrences
Periodica Math. Hungar. 47 (2003), 119-134, mit O. Pfeiffer.
Elements of small norm in Shanks´ cubic extensions of imaginary quadratic fields
J. Symbolic Computation 38 (2004), 1471-1486, mit J. Thuswaldner.
On a parameterized family of relative Thue equations
Publ. Math. Debrecen 71 (2007), 101-139, mit C. Lampl und J. Thuswaldner.
Finite and periodic orbits of shift radix systems
J. Théor. Nombres Bordeaux 22 (2010), 421-448, mit A. Pethö, P. Surer und J. Thuswaldner.
Generalized Catalan sequences originating from the analysis of special data structures
Bull. Inst. Combin. Appl. 71 (2014), 103-116, mit J. Blieberger.
The asymptotic form of the sum \sum_{i=0}^n i^p\binom{n+i}i: two proofs
Util. Math. 93 (2014), 3-23, mit P. J. Larcombe and E. J. Fennessey.
Shift radix systems - a survey
in: Numeration and substitution 2012, RIMS Kôkyûroku Bessatsu, B46, Res. Inst. Math. Sci. (RIMS), Kyoto (2014), 1-59, mit J. Thuswaldner.
A number theoretical problem on the distribution of polynomials with bounded roots
Integers 15 (2015), Paper No. A10, 10 pp, mit M. Weitzer.
Distribution results on polynomials with bounded roots
Monatsh. Math., 185 (2018) 689 - 715, together with J. Thuswaldner.