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*On a Family of Quintic Thue Equations*, J. Symbolic Comput.**26**(1998), 173–185.*Complete solution of parametrized Thue equations*, joint work with A. Pethö and R. F. Tichy, Acta Mathematica et Informatica Universitatis Ostraviensis**6**(1998), 93–113.*On Families of parametrized Thue Equations*, Journal of Number Theory**76**(1999), 45–61.*Effective solution of families of Thue Equations containing several parameters*, joint work with R. F. Tichy, Acta Arithmetica**91**(1999), 147–163.*On the generalized Ramanujan-Nagell equation x^2+D=p^z*, joint work with M.-H. Le, Journal of Number Theory**78**(1999), 312–331.*On general families of parametrized Thue equations*, Algebraic Number Theory and Diophantine Analysis, Proceedings of the International Conference held in Graz, August 30 to September 5, 1998 (F. Halter-Koch and R. F. Tichy, eds.), Walter de Gruyter, 2000, pp. 215–238.*Minimal expansions in redundant number systems and shortest paths in graphs*, Computing**63**(1999), 341–349.*On a conjecture of E. Thomas concerning parametrized Thue equations*, Acta Arithmetica**98**(2001), 375–394. (pdf)*On Minimal Expansions in Redundant Number Systems: Algorithms and Quantitative Analysis*, joint work with H. Prodinger, Computing**66**(2001), 377–393. (pdf).*On Explicit Bounds for the Solutions of a Class of Parametrized Thue Equations of Arbitrary Degree*, Monatsh. Math.**132**(2001), 325–339. (pdf)*On Hamiltonian Toeplitz Graphs*, Discrete Math.**245**(2002), 107–125; earlier version available as SFB Report 182.*Thomas' family of Thue equations over imaginary quadratic fields*, joint work with A. Pethö and R. F. Tichy, J. Symbolic Comput.**34**(2002), 437–449. (pdf)*Minimal Redundant Digit Expansions in the Gaussian Integers*, J. Théor. Nombres Bordeaux.**14**(2002), 517–528. (pdf) A Mathematica package is available.*Carry Propagation in Signed Digit Representations*, joint work with H. Prodinger, European J. Combin.**24**(2003), 293–320. (pdf)*On Planarity and Colorability of Circulant Graphs*, Discrete Math.**68**(2003), 153–169. (pdf); earlier version available as SFB Report 197.*Subblock occurrences in signed digit representations*, joint work with P. Grabner and H. Prodinger, Glasg. Math. J.**45**(2003), 427–440. (pdf)*Distribution Results for Low-Weight Binary Representations for Pairs of Integers*, joint work with P. Grabner and H. Prodinger, Theoret. Comput. Sci.**319**(2004), 307–331. (pdf)*Automatic Solution of Families of Thue equations and an Example of Degree 8*, joint work with A. Togbé and V. Ziegler, J. Symbolic Comput.**38**(2004), 1145–1163. (pdf)*Inverse Combinatorial Optimization: A Survey on Problems, Methods, and Results*, J. Comb. Optim.**8**(2004), 329–361. (pdf); earlier version available as SFB Report 219.*Minimal Expansions in Redundant Number Systems: Fibonacci Bases and Greedy Algorithms*, Period. Math. Hungar.**49**(2004), 65–89. (pdf)*Counting Optimal Joint Digit Expansions*, joint work with P. Grabner and H. Prodinger, Integers**5 (3)**(2005), A9, available at http://www.integers-ejcnt.org/.*The Alternating Greedy Expansion and Applications to Left-To-Right Algorithms in Cryptography*, joint work with R. Katti, H. Prodinger, and X. Ruan, Theoret. Comput. Sci**341**(2005), 55–72. (pdf)*Analysis of linear combination algorithms in cryptography*, joint work with P. Grabner, H. Prodinger and J. Thuswaldner, ACM Trans. Algorithms**1**(2005), 123–142. (pdf) Online resources.*Analysis of Alternative Digit Sets for Nonadjacent Representations*, joint work with H. Prodinger, Monatsh. Math.**147**(2006), 219–248. (pdf)*Minimality of the Hamming Weight of the τ-NAF for Koblitz Curves and Improved Combination with Point Halving*, joint work with R. Avanzi and H. Prodinger, Selected Areas in Cryptography: 12th International Workshop, SAC 2005, Kingston, ON, Canada, August 11–12, 2005, Revised Selected Papers (B. Preneel and St. Tavares, eds.), Lecture Notes in Comput. Sci.**3897**(2006), 332–344. (pdf)*On the number of optimal base 2 representations of integers*, joint work with P. Grabner, Des. Codes Cryptogr.**40**(2006), 25–39. (pdf)*All Solutions to Thomas' Family of Thue Equations over Imaginary Quadratic Number Fields*, J. Symbolic Comput.**41**(2006), 980–998. (pdf)*Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and its Combination with Point Halving: Extensions and Mathematical Analysis*, joint work with R. Avanzi and H. Prodinger, Algorithmica**46**(2006), 249–270. (pdf)*Parametrized Thue Equations — A survey*, Proceedings of the RIMS symposium “Analytic Number Theory and Surrounding Areas”, Kyoto, Oct 18–22, 2004, RIMS Kôkyûroku 1511, August 2006, 82–91. (pdf)*On α-greedy expansions of numbers*, joint work with H. Prodinger, Adv. in Appl. Math.**38**(2007), 505–525. (pdf).*Thomas' family of Thue equations over imaginary quadratic fields. II*, joint work with A. Pethö and R. F. Tichy, Anz. Österreich. Akad. Wiss. Math.-Natur. Kl.**142**(2006), 3–7. (pdf).*The Hamming Weight of the Non-Adjacent-Form under Various Input Statistics*, joint work with H. Prodinger, Period. Math. Hungar.**55**(2007), 81–96. (Earlier version available as report 2007-1.)*On Redundant τ-adic Expansions and Non-Adjacent Digit Sets*, joint work with R. Avanzi and H. Prodinger, Selected Areas in Cryptography: 13th International Workshop, SAC 2006, Montreal, Canada, August 2006, Revised Selected Papers (E. Biham and A. M. Youssef, eds), Lecture Notes in Comput. Sci.**4356**(2007), 285--301. (Earlier version available as report 2006-14.)*Hwang's Quasi-Power-Theorem in Dimension Two*, Quaest. Math.**30**(2007), 507--512. (Earlier version available as report 2007-9.)*Minimal Weight and Colexicographically Minimal Integer Representations*, joint work with J. Muir, J. Math. Cryptol.**1**(2007), 297–328. (Earlier version available as report 2006-11.)*Maximizing the number of independent subsets over trees with bounded degree*, joint work with S. Wagner, J. Graph Theory**58**(2008), 49–68. (Earlier version available as report 2007-3.)*Randomness with respect to the Signed-Digit Representation*, joint work with M. Archibald and V. Brattka, Fund. Inform.**83**(2008), 1–19. (Earlier version available as report 2007-13.)*Positional Number Systems with Digits Forming an Arithmetic Progression*, joint work with H. Prodinger and S. Wagner, Monatsh. Math.**155**(2008), 349–375, DOI 10.1007/s00605-008-0008-8. (Earlier version available as report 2007-10.)*Chemical trees minimizing energy and Hosoya index*, joint work with S. Wagner, J. Math. Chem.**46**(2009), 214–230, DOI 10.1007/s10910-008-9456-6. (Earlier version available as report 2008-6 and as arXiv:0804.0516v1 [math.CO].)*Unbalanced digit sets and the closest choice strategy for minimal weight integer representations*, joint work with J. Muir, Des. Codes Cryptogr.**52**(2009), 185–208, DOI 10.1007/s10623-009-9276-0. (Earlier version available as report 2008-5 and as Cryptology ePrint Archive, Report 2008/135.)*Analysis of Complements in Multi-Exponentiation Algorithms Using Signed Digit Representations*, joint work with H. Prodinger, Internat. J. Found. Comput. Sci.**20**(2009), 443–453, DOI 10.1142/S012905410900667X, (An earlier version, entitled*Complements and Signed Digit Representations: Analysis of a Multi-Exponentiation-Algorithm of Wu, Lou, Lai and Chang*, is available as report 2008-8 and as arXiv:0804.0733v1 [math.CO].)*On a Class of Extremal Trees for Various Indices*, joint work with S. Wagner, MATCH Commun. Math. Comput. Chem.**62**(2009), 437–464. Online Ressources. (Earlier version available as report 2008-15.)*Graphen, Ziffern und Kryptographie*, Internat. Math. Nachrichten**212**(2009), 1–10.*Redundant τ-adic Expansions II: Non-Optimality and Chaotic Behaviour*, Math. Comput. Sci.**3**(2010), 141–157, DOI 10.1007/s11786-009-0014-9.(Earlier version available as report 2008-4 and as Cryptology ePrint Archive, Report 2008/153.)*Asymptotics of the extremal values of certain graph parameters in trees with bounded degree*, joint work with S. Wagner, Publ. Math. Debrecen.**77**(2010), 347–367. (Earlier version also available as report 2007-12.)*Redundant τ-adic Expansions I: Non-Adjacent Digit Sets and their Applications to Scalar Multiplication*, joint work with R. Avanzi and H. Prodinger, Des. Codes Cryptogr.**58**(2011), 173–202, DOI 10.1007/s10623-010-9396-6. (Earlier version also available as report 2008-7 and as Cryptology ePrint Archive, Report 2008/148.)*Faster and Lower Memory Scalar Multiplication on Supersingular Curves in Characteristic Three*, joint work with R. Avanzi, in: Public Key Cryptography — PKC 2011. 14th International Conference on Practice and Theory in Public Key Cryptography, Taormina, Italy, March 6–9, 2011. Proceedings. Lecture Notes in Comput. Sci. 6571 (2011), 109–127.*A precise description of the p-adic valuation of the number of alternating sign matrices*, joint work with H. Prodinger, Int. J. Number Theory**7**(2011), 57–69. (Earlier version also available as report 2009-12 and arXiv:0908.0149v1 [math.NT])*The Number of Maximum Matchings in a Tree*, joint work with S. Wagner, Discrete Math 311 (2011), 2512–2542, DOI: 10.1016/j.disc.2011.07.028. Online Ressources.*Analysis of Digital Expansions of Minimal Weight*, joint work with F. Heigl, 23rd Intern. Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'12), DMTCS Proceedings (2012), 399–412.*Analysis of Parameters of Trees Corresponding to Huffman Codes and Sums of Unit Fractions*, joint work with D. Krenn and S. Wagner, Proceedings of the Meeting on Analytic Algorithmics & Combinatorics (ANALCO), New Orleans, Louisiana, USA, January 6, 2013, SIAM, 33–42.*Analysis of Width-w Non-Adjacent Forms to Imaginary Quadratic Bases*, joint work with D. Krenn, J. Number Theory**133**(2013), 1752–1808, DOI:10.1016/j.jnt.2012.08.029.*The number of Huffman codes, compact trees, and sums of unit fractions*, joint work with Ch. Elsholtz and H. Prodinger, IEEE Trans. Inf. Theory**59**(2013), 1065–1075, DOI:10.1109/TIT.2012.2226560.*Existence and Optimality of w-non-adjacent Forms with an Algebraic Integer Base*, joint work with D. Krenn, Acta Math. Hungar**140**(2013), 90–104, DOI:10.1007/s10474-013-0303-2.*Optimality of the Width-w Non-adjacent Form: General Characterisation and the Case of Imaginary Quadratic Bases*, joint work with D. Krenn, J. ThÃ©or. Nombres Bordeaux**25**(2013), 353–386. (Earlier version available as arXiv:1110.0966v1 [math.NT].)

*Analysis of the binary asymmetric joint sparse form*, joint work with S. Kropf, to appear in Combin. Probab. Comput. (Earlier version available as arXiv:1303.2819 [math.NT].)

*Arithmetic of Supersingular Koblitz Curves in Characteristic Three*, joint work with R. Avanzi and H. Prodinger, submitted. (Also available as report 2010-8 and as Cryptology ePrint Archive, Report 2010/436.)*Symmetric Digit Sets for Elliptic Curve Scalar Multiplication without Precomputation*, joint work with M. Mazzoli, submitted. Also available as Cryptology ePrint Archive, Report 2013/705.

Last Modification: 2014-01-08 by Clemens Heuberger