Complete list
of the references of my publications
Complete list of the references of my publications
[1]
Harald Fripertinger. Die Abzähltheorie von Pólya. Master's
thesis, Karl-Franzens-Universität Graz, 1991.
[2]
Harald Fripertinger. Untersuchung über die Anzahl verschiedener
Intervalle, Akkorde, Tonreihen und anderer musikalischer Objekte in
n-Ton Musik. Master's thesis, Hochschule für Musik und Darstellende
Kunst, Graz, 1991.
[3]
Harald Fripertinger. Enumeration in Musical Theory.
Séminaire Lotharingien de Combinatoire, 476/S-26:29 - 42,
1992. ISSN 0755-3390.
[4]
Harald Fripertinger. Enumeration in Musical Theory.
Beiträge zur Elektronischen Musik, Heft 1, 1992.
Hochschule für Musik und Darstellende Kunst, Graz.
[5]
Harald Fripertinger. Endliche Gruppenaktionen in
Funktionenmengen. Das Lemma von Burnside --
Repräsentantenkonstruktionen -- Anwendungen in der
Musiktheorie. PhD thesis, Karl-Franzens-Universität Graz,
1993.
[6]
Harald Fripertinger. Endliche Gruppenaktionen auf
Funktionenmengen. Das Lemma von Burnside --
Repräsentantenkonstruktionen -- Anwendungen in der Musiktheorie.
Bayreuth. Math. Schr., 45:19 - 135, 1993.
ISSN 0172-1062.
[7]
Harald Fripertinger and Adalbert Kerber. Isometry Classes of
Indecomposable Linear Codes. In G. Cohen, M. Giusti, and
T. Mora, editors, Applied Algebra, Algebraic Algorithms
and Error-Correcting Codes, 11th International Symposium, AAECC-11,
Paris, France, July 1995, volume 948 of Lecture Notes in
Computer Science, pages 194-204. Springer, 1995.
[8]
Harald Fripertinger. Zyklenzeiger linearer Gruppen und
Abzählung linearer Codes. Séminaire Lotharingien de
Combinatoire, Actes 33:1 - 10, 1995. ISSN 0755-3390.
[9]
Harald Fripertinger. Enumeration of isometry classes of linear
(n,k)-codes over GF(q) in SYMMETRICA. Bayreuth. Math.
Schr., 49:215 - 223, 1995. ISSN 0172-1062.
[10]
Harald Fripertinger. The Cycle Index of the Symmetry Group of
the Fullerene C60. match, 33:121-138, 1996.
ISSN 0340-6253.
[11]
Harald Fripertinger. The Three-dimensional Cycle Index of the
Leapfrog of a Polyhedron. J. Chem. Inf. Comput. Sci.,
37(3):535-537, 1997.
[12]
Harald Fripertinger. Enumeration of Linear Codes by Applying
Methods from Algebraic Combinatorics. Grazer Math. Ber.,
328:31 - 42, 1996.
[13]
Harald Fripertinger. Cycle Indices of Linear, Affine and
Projective Groups. Linear Algebra and Its Applications,
263:133 - 156, 1997.
[14]
Anton Betten, Harald Fripertinger, Adalbert Kerber, Alfred
Wassermann, and Karl-Heinz Zimmermann. Codierungstheorie --
Konstruktion und Anwendung Linearer Codes. Springer, Berlin,
Heidelberg, New York, 1998. ISBN 3-540-64502-0.
[15]
Harald Fripertinger. Enumeration, construction and random
generation of block codes. Designs, Codes and
Cryptography, 14:213-219, 1998.
[16]
Harald Fripertinger. Random generation of linear codes.
Aequationes Math., 58:192-202, 1999.
[17]
Harald Fripertinger. Enumeration of Mosaics. Discrete
Mathematics, 199:49-60, 1999.
[18]
Harald Fripertinger and Peter Schöpf. Endofunctions of given
cycle-type. Annales des Sciences Mathématiques du Québec,
23:173-187, 1999.
[19]
Harald Fripertinger. Classification of motives: a mathematical
approach. To be published in Musikometrika, 1999.
[20]
Harald Fripertinger. Enumeration and construction in music
theory. In H.G. Feichtinger and M. Dörfler, editors,
Computational and Mathematical Methods in Music, Vienna,
Austria, December 2-4, 1999, pages 179 - 204,
http://www.ocg.at, 1999. Österreichische
Computergesellschaft.
[21]
Harald Fripertinger and Jens Schwaiger. Some applications of
functional equations in astronomy. Grazer Math. Ber.,
344:1-6, 2001.
[22]
Harald Fripertinger. Enumeration of non-isomorphic canons.
Tatra Mountains Mathematical Publications, 23:47-57,
2002.
[23]
Harald Fripertinger. Group actions and the functional equation
of the mean sun. Comptes rendus mathématiques de l'Académie des
sciences. La Société Royale du Canada., 24(1):21-25,
2002.
[24]
Harald Fripertinger. The functional equation of the mean sun
written as a group action. Grazer Math. Ber., 344:25-30,
2001.
[25]
Harald Fripertinger and Ludwig Reich. Generalizations of the
functional equation of the mean sun. Grazer Math. Ber.,
344:7-24, 2001.
[26]
Harald Fripertinger, I. Gutman, Adalbert Kerber, Axel
Kohnert, and D. Vidovic. The Energy of a Graph and its Size
Dependence. An Improved Monte Carlo Approach. Zeitschrift für
Naturforschung, 56a:342-346, 2001.
[27]
Harald Fripertinger and Ludwig Reich. On covariant embeddings
of a linear functional equation with respect to an analytic
iteration group. International Journal of Bifurcation and
Chaos, 13(7):1853-1875, 2003.
[28]
Harald Fripertinger and Ludwig Reich. On a linear functional
equation for formal power series. Sitzungsberichte der Österr.
Akademie der Wissenschaften, Abt. II, 210:85-134, 2001.
[29]
Harald Fripertinger and Ludwig Reich. On covariant embeddings
of a linear functional equation with respect to an analytic
iteration group in some non-generic cases. Aequationes
Math., 68:60-87, 2004.
[30]
Harald Fripertinger. Tiling problems in music theory. In
Guerino Mazzola, Thomas Noll, and E. Lluis-Puebla, editors,
Perspectives in Mathematical and Computational Music
Theory, pages 153-168. epOs Music, Osnabrück, 2004. http://www.epos.uni-osnabrueck.de/music/books/m/ma_nl004/pages/153.htm.
[31]
Harald Fripertinger, Ludwig Reich, and Jens Schwaiger. The
linear-affine functional equation and group actions.
Publicationes Mathematicae Debrecen, 64(1-2):209-235,
2004.
[32]
Harald Fripertinger and Ludwig Reich. On the general solution
of the system of cocycle equations without regularity conditions.
Aequationes Math., 68:200-229, 2004.
[33]
Harald Fripertinger. Remarks on rhythmical canons. In Harald
Fripertinger and Ludwig Reich, editors, Colloquium on
Mathematical Music Theory, Proceedings of the colloquium on MaMuTh,
Graz, Austria, May 6-9, 2004, volume 347 of Grazer Math.
Ber., pages 73-90, 2005. ISSN 1016-7692.
[34]
Harald Fripertinger. Enumeration of the semilinear isometry
classes of linear codes. In Adalbert Kerber and Axel Kohnert,
editors, ALCOMA'05, Proceedings of the Conference on Algebraic
Combinatorics and Applications, Designs and Codes, Thurnau,
Germany, April 3-10, 2005, volume 74 of Bayreuth.
Math. Schr., pages 100-122, 2005. ISSN 0172-1062.
[35]
Harald Fripertinger and Ludwig Reich. Covariant embeddings of
the linear functional equation with respect to an iteration group
in the ring of complex formal power series. In Wolfgang Förg-Rob,
Laura Gardini, Detlef Gronau, Ludwig Reich, and Jaroslav Smítal,
editors, Iteration Theory (ECIT `04), volume 350 of
Grazer Math. Ber., pages 96-121, 2006.
[36]
Anton Betten, Michael Braun, Harald Fripertinger, Adalbert
Kerber, Axel Kohnert, and Alfred Wassermann. Error-Correcting
Linear Codes -- Classification by Isometry and Applications.
Springer, Berlin, Heidelberg, New York, 2006.
ISBN 3-540-28371-4.
[37]
Harald Fripertinger and Ludwig Reich. The formal translation
equation and formal cocycle equations for iteration groups of type
I. Aequationes Math., 76:54-91, 2008.
[38]
Harald Fripertinger. On a functional equation involving group
actions. Aequationes Math., 77:25-32, 2009.
[39]
Harald Fripertinger and Ludwig Reich. The formal translation
equation for iteration groups of type II. Aequationes
Math., 79:111-156, 2010.
[40]
Harald Fripertinger. The number of invariant subspaces under a
linear operator on finite vector spaces. In Adalbert Kerber, Axel
Kohnert, Reinhard Laue, and Alfred Wassermann, editors,
ALCOMA 10, Proceedings of the Conference on Algebraic
Combinatorics and Applications, Designs and Codes, Thurnau,
Germany, April 11-18, 2010, volume 5 of Advances in
Mathematics of communications, pages 407-416, 2011.
ISSN 1930-5346.
[41]
Harald Fripertinger and Ludwig Reich. On the formal first
cocycle equation for iteration groups of type II. In Daniele
Fournier-Prunaret, Laura Gardini, and Ludwig Reich, editors,
Proceedings of the European Conference on Iteration Theory
2010, ESAIM: Proc., volume 36, pages 32-47. EDP Sciences,
2012. http://www.esaim-proc.org/.
[42]
Harald Fripertinger, Ludwig Reich, Jens Schwaiger, and Jörg
Tomaschek. Associative formal power series in two indeterminates.
Semigroup Forum, 88(3):529-540, 2014.
[43]
Harald Fripertinger and Jens Schwaiger. On one-dimensional
formal group laws in characteristic zero. Aequationes
mathematicae, 89(3):857-862, 2014.
[44]
Harald Fripertinger and Ludwig Reich. On the formal second
cocycle equation for iteration groups of type II. Journal of
Difference Equations and Applications, 21(7):564-578,
2015.
[45]
Harald Fripertinger. On n-associative formal power series.
Aequationes mathematicae, 90(2):449-467, 2016.
[46]
Harald Fripertinger and Peter Lackner. Tone rows and tropes.
Journal of Mathematics and Music, 9(2):111-172, 2015.
[47]
Harald Fripertinger and Ludwig Reich. The Translation Equation
in the Ring of Formal Power Series Over C and Formal
Functional Equations. In Janusz Brzdek, Krzysztof Cieplinski, and
Themistocles M. Rassias, editors, Developments in
Functional Equations and Related Topics, pages 41-69.
Springer, 2017.
[48]
Anna Bahyrycz, Harald Fripertinger, and Jens Schwaiger. On a
functional equation by Baak, Boo and Rassias. Aequationes
mathematicae, 92(2):267-288, Apr 2018.
[49]
Harald Fripertinger. On iteration of bijective functions with
discontinuities. Ann. Math. Sil., 34(1):51-72, 2020.
[50]
Harald Fripertinger and Ludwig Reich. Families of commuting
formal power series and formal functional equations. Ann. Math.
Sil., 35(1):55-76, 2021.
[51]
Harald Fripertinger and Jens Schwaiger. Some remarks on the
stability of the Cauchy equation and completeness. Aequationes
Math., 95(6):1243-1255, 2021.
[52]
Harald Fripertinger and Jens Schwaiger. Non-trivial additive
functions between vector spaces over not necessarily equal fields.
Grazer Math. Ber., 364:39-48, 2023.
harald.fripertinger "at" uni-graz.at, October 3,
2024