Number-Theoretic Algorithms and their Applications (FSP)

Research output

Research output per year 1998 2003 2004 2005 2006 2006

• 35 Article
• 3 Chapter
• 3 Conference paper
• 1 Doctoral Thesis

Research output per year

Research output per year

Search results

• 2006

  Analysis of Alternative Digit Sets for Nonadjacent Representations

  Heuberger, C. & Prodinger, H., 2006, In: Monatshefte für Mathematik. 147, p. 219-248

  Research output: Contribution to journal › Article › peer-review

• Asymptotic Analysis of a Measure of Variation

  Albrecher, H. & Teugels, J. L., 2006, In: Theory of probability and mathematical statistics. 74, p. 1-9

  Research output: Contribution to journal › Article

• Minimality of the Hamming Weight of the τ-NAF for Koblitz Curves and Improved Combination with Point Halving

  Avanzi, R., Heuberger, C. & Prodinger, H., 2006, Selected Areas in Cryptography : selected papers. Berlin [u.a.]: Springer, Vol. 3897. p. 332-344 (Lecture Notes in Computer Science).

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review

  • Scalar Multiplication 100%
  • Hamming Weight 100%
  • Finite Frobenius Ring 60%
  • Frobenius Endomorphism 20%
  • Binary Field 20%

• On the number of optimal base 2 representations of integers

  Grabner, P. & Heuberger, C., 2006, In: Designs, Codes and Cryptography. 40, p. 25-39

  Research output: Contribution to journal › Article › peer-review

• Parametrized Thue Equations — A survey

  Heuberger, C., 2006, Proceedings of the RIMS symposium “Analytic Number Theory and Surrounding Areas”. ., Vol. 1511. p. 82-91 (RIMS Kôkyûroku).

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper

• Scalar Multiplication on Koblitz Curves Using the Frobenius Endomorphism and its Combination with Point Halving: Extensions and Mathematical Analysis

  Avanzi, R., Heuberger, C. & Prodinger, H., 2006, In: Algorithmica. 46, p. 249-270

  Research output: Contribution to journal › Article › peer-review
• 2005

  Analysis of linear combination algorithms in cryptography

  Grabner, P., Heuberger, C., Prodinger, H. & Thuswaldner, J., 2005, In: ACM Transactions on Algorithms. 1, 1, p. 123-142

  Research output: Contribution to journal › Article › peer-review

• Discussion of ''The Time Value of Ruin in a Sparre Andersen Model'' by H. Gerber and E. Shiu

  Albrecher, H., 2005, In: North American Actuarial Journal. 9, 2, p. 71-74

  Research output: Contribution to journal › Article

• On the discounted penalty function in a Markov-dependent risk model

  Albrecher, H. & Boxma, O. J., 2005, In: Insurance / Mathematics & economics. 37, 3, p. 650-672

  Research output: Contribution to journal › Article › peer-review

• On the distribution of dividend payments and the discounted penalty function in a risk model with linear dividend barrier

  Albrecher, H., Hartinger, J. & Tichy, R., 2005, In: Scandinavian Actuarial Journal. No. 2, p. 103-126

  Research output: Contribution to journal › Article

• On the distribution of dividend payments in a Sparre Andersen model with generalized Erlang(n) interclaim times

  Albrecher, H., Claramunt, M. M. & Marmol, M., 2005, In: Insurance / Mathematics & economics. 37, 2, p. 324-334

  Research output: Contribution to journal › Article › peer-review

• Some Extensions of the Classical Ruin Model in Risk Theory

  Albrecher, H., 2005, In: Grazer mathematische Berichte. 348, p. 1-14

  Research output: Contribution to journal › Article › peer-review

• Static hedging of Asian options under stochastic volatility models using Fast Fourier transform

  Albrecher, H. & Schoutens, W., 2005, Exotic Options and Advanced Levy Models, John Wiley and Sons Ltd.. 1 ed. Chichester: Wiley, p. 129-148

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

• The alternating greedy expansion and applications to computing digit expansions from left-to-right in cryptography

  Heuberger, C., Katti, R., Prodinger, H. & Ruan, X., 2005, In: Theoretical Computer Science. 341, p. 55-72

  Research output: Contribution to journal › Article › peer-review
• 2004

  A ruin model with dependence between claim sizes and claim intervals

  Albrecher, H. & Boxma, O., 2004, In: Insurance / Mathematics & economics. 35, 2, p. 245-254

  Research output: Contribution to journal › Article › peer-review

• Automatic solution of families of thue equations and an example of degree 8

  Heuberger, C., Togbé, A. & Ziegler, V., 2004, In: Journal of Symbolic Computation. 38, p. 1145-1163

  Research output: Contribution to journal › Article › peer-review

• Discussion of ''Optimal Dividends: Analysis with Brownian Motion'' by H. Gerber and E. Shiu

  Albrecher, H., 2004, In: North American Actuarial Journal. 8, 2, p. 111-113

  Research output: Contribution to journal › Article

• Distribution results for low-weight binary representations for pairs of integers

  Grabner, P., Heuberger, C. & Prodinger, H., 2004, In: Theoretical Computer Science. 319, p. 307-331

  Research output: Contribution to journal › Article › peer-review

• Markov Models in Actuarial Science

  Albrecher, H., 2004, Encyclopedia of Actuarial Science, John Wiley and Sons Ltd.. Chichester: Wiley, p. 1094-1096

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

• Minimal Expansions in Redundant Number Systems: Fibonacci Bases and Greedy Algorithms

  Heuberger, C., 2004, In: Periodica Mathematica Hungarica. 49, p. 65-89

  Research output: Contribution to journal › Article › peer-review

• On Asian Option Pricing for NIG Levy Processes

  Albrecher, H. & Predota, M., 2004, In: Journal of Computational and Applied Mathematics. 172, 1, p. 153-168

  Research output: Contribution to journal › Article › peer-review

• Operational Time

  Albrecher, H., 2004, Encyclopedia of Actuarial Science, John Wiley and Sons Ltd.. Chichester: Wiley, p. 1207-1208

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

• Quasi-Monte Carlo techniques for CAT bond pricing

  Albrecher, H., Hartinger, J. & Tichy, R., 2004, In: Monte Carlo methods and applications. 10, 3-4, p. 197-212

  Research output: Contribution to journal › Article › peer-review

• The Valuation of Asian Options in Market Models of Exponential Levy Type

  Albrecher, H., 2004, Proceedings of the 2nd Actuarial and Financial Mathematics Day, Royal Flemish Academy of Belgium for Arts and Sciences. ., p. 11-20

  Research output: Chapter in Book/Report/Conference proceeding › Conference paper › peer-review
• 2003

  Arithmetic average options in the hyperbolic model

  Larcher, G., Predota, M. & Tichy, R., 2003, In: Monte Carlo methods and applications. 9, p. 227-239

  Research output: Contribution to journal › Article › peer-review

• Carry propagation in signed digit representations

  Heuberger, C. & Prodinger, H., 2003, In: European Journal of Combinatorics. 24, 3, p. 293-320

  Research output: Contribution to journal › Article › peer-review

• Multivariate approximation methods for the pricing of catastrophe-linked bonds

  Albrecher, H., Hartinger, J. & Tichy, R., 2003, In: International Series of Numerical Mathematics. 145, p. 21-39

  Research output: Contribution to journal › Article

• Simulation Methods for Valuing Asian Option Prices in a Hyperbolic Asset Price Model

  Hartinger, J. & Predota, M., 2003, In: IMA Journal of Management Mathematics . 14, p. 65-81

  Research output: Contribution to journal › Article › peer-review

• Subblock occurrences in signed digit representations

  Grabner, P., Heuberger, C. & Prodinger, H., 2003, In: Glasgow Mathematical Journal. 45, p. 427-440

  Research output: Contribution to journal › Article › peer-review
• 2002

  Minimal Redundant Digit Expansions in the Gaussian Integers

  Heuberger, C., 2002, In: Journal de Théorie des Nombres de Bordeaux. 14, p. 517-528

  Research output: Contribution to journal › Article › peer-review

• Pricing Asian Options in the Hyperbolic Model: A Fast Quasi-Monte Carlo Approach

  Hartinger, J. & Predota, M., 2002, In: Grazer mathematische Berichte. 335, p. 1-33

  Research output: Contribution to journal › Article › peer-review

• Thomas' family of Thue equations over imaginary quadratic fields

  Heuberger, C., Pethö, A. & Tichy, R., 2002, In: Journal of Symbolic Computation. 34, p. 437-449

  Research output: Contribution to journal › Article › peer-review
• 2001

  On a conjecture of E. Thomas concerning parametrized Thue equations

  Heuberger, C., 2001, In: Acta Arithmetica. 98, p. 375-394

  Research output: Contribution to journal › Article › peer-review

• On Explicit Bounds for the Solutions of a Class of Parametrized Thue Equations of Arbitrary Degree

  Heuberger, C., 2001, In: Monatshefte für Mathematik. 132, p. 325-339

  Research output: Contribution to journal › Article › peer-review

• On Minimal Expansions in Redundant Number Systems: Algorithms and Quantitative Analysis

  Heuberger, C. & Prodinger, H., 2001, In: Computing. 66, p. 377-393

  Research output: Contribution to journal › Article › peer-review

• Ruin Models in Finance and Insurance: Exact Solutions and Simulation Methodology

  Albrecher, H., 2001

  Research output: Thesis › Doctoral Thesis
• 1999

  Effective solution of families of Thue Equations containing several parameters

  Heuberger, C. & Tichy, R., 1999, In: Acta Arithmetica. 91, p. 147-163

  Research output: Contribution to journal › Article › peer-review

• Minimal expansions in redundant number systems and shortest paths in graphs

  Heuberger, C., 1999, In: Computing. 63, p. 341-349

  Research output: Contribution to journal › Article › peer-review

• On Families of parametrized Thue Equations

  Heuberger, C., 1999, In: Journal of Number Theory. p. 45-61

  Research output: Contribution to journal › Article › peer-review

• On the generalized Ramanujan-Nagell equation x^2+D=p^z

  Heuberger, C. & Le, M., 1999, In: Journal of Number Theory. 78, p. 312-331

  Research output: Contribution to journal › Article › peer-review
• 1998

  Complete solution of parametrized Thue equations

  Heuberger, C., Pethö, A. & Tichy, R., 1998, In: Acta mathematica et informatica Universitatis Ostraviensis. 6, p. 93-113

  Research output: Contribution to journal › Article › peer-review

• On a Family of Quintic Thue Equations

  Heuberger, C., 1998, In: Journal of Symbolic Computation. 26, 2, p. 173-185

  Research output: Contribution to journal › Article › peer-review