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Research Output 1979 2020

2003

Resolving large prime(s) variants for discrete logarithm computation

Holt, A. J. & Davenport, J. H., 2003, Cryptography and Coding, Proceedings. Vol. 2898. p. 207-222 16 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

Discrete Logarithm
Factoring
Resolve
Calculus
Analogue

The Geometry of C^n is Important for the Algebra of Elementary Function

Davenport, J. H., 2003, Algebra, Geometry and Software Systems. Joswig, M. & Takayama, N. (eds.). Berlin, Germany: Springer, p. 207-225 19 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2002
8 Citations (Scopus)

Equality in computer algebra and beyond

Davenport, J. H., 2002, In : Journal of Symbolic Computation. 34, 4, p. 259-270 12 p.

Research output: Contribution to journalArticle

Computer Algebra
Algebra
Equality
Mathematical reasoning
Computer algebra system
15 Citations (Scopus)

Reasoning about the elementary functions of complex analysis

Bradford, R., Corless, R. M., Davenport, J. H., Jeffrey, D. J. & Watt, S. M., 1 Nov 2002, In : Annals of Mathematics and Artificial Intelligence. 36, 3, p. 303-318 16 p.

Research output: Contribution to journalArticle

Theorem proving
Elementary Functions
Complex Analysis
Artificial intelligence
Reasoning

Table Errata --- Abramowitz & Stegun

Davenport, J. H., 2002, In : Mathematics of Computation (MCOM). p. 1801 1 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)

Towards better simplification of elementary functions

Bradford, R. & Davenport, J. H., 2002.

Research output: Contribution to conferencePaper

2001

A Generic Root Operation for Exact Real Arithmetic

Hur, N., Davenport, J. H., Blanck, J. (ed.), Brattka, V. (ed.) & Hertling, P. (ed.), 2001, p. 82--87. 6 p.

Research output: Contribution to conferencePaper

1 Citation (Scopus)

Lattice Attacks on RSA-Encrypted IP and TCP

Crouch, P. A., Davenport, J. H. & Honary, B. (ed.), Dec 2001, p. 329--338. 10 p.

Research output: Contribution to conferencePaper

7 Citations (Scopus)

Reasoning about the elementary functions of complex analysis

Corless, R. M., Davenport, J. H., Jeffrey, D. J., Litt, G. & Watt, S. M., 2001, Artificial Intelligence and Symbolic Computation: Revised Papers. Campbell, J. A. & Roanes-Lozano, E. (eds.). Berlin, Germany: Springer, p. 115-126 12 p. (Lecture Notes in Artificial Intelligence; vol. 1930).

Research output: Chapter in Book/Report/Conference proceedingChapter

Elementary Functions
Complex Analysis
Reasoning
Simplification
Theorem Proving
2000

"According to Abramowitz and Stegun", or arcoth needn't be uncouth

Corless, R. M., Davenport, J. H., Jeffrey, D. J. & Watt, S. M., 2000, In : SIGSAM Bulletin. 34, p. 58-65 8 p.

Research output: Contribution to journalArticle

1993

An overview of computer algebra

Cohen, A. M., Davenport, J. H. & Heck, A. J. P., 1993, Computer Algebra in Industry: Problem Solving in Practice: Proceedings of the 1991 SCAFI Seminar at CWI, Amsterdam. Cohen, A. M. (ed.). Chichester, UK: John Wiley, p. 1-52 52 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1991

Computer algebra approaches to enzyme kinetics

Bennett, J. P., Davenport, J. H., Dewar, M. C., Fisher, D. L., Grinfeld, M. & Sauro, H., 1991, Algebraic Computing in Control: Proceedings of the First European Conference Paris, March 13–15, 1991. Jacob, G. & Lamnabhi-Lagarrigue, F. (eds.). Berlin, Germany: Springer, p. 23-30 8 p. (Lecture Notes in Control and Information Sciences; vol. 165).

Research output: Chapter in Book/Report/Conference proceedingChapter

Polynomials whose powers are sparse

Coppersmith, D. & Davenport, J. H., 1991, In : Acta Arithmetica. 58, 1, p. 79-87 9 p.

Research output: Contribution to journalArticle

53 Downloads (Pure)

Scratchpad's view of algebra II: A categorical view of factorization

Davenport, J. H., Gianni, P. & Trager, B. M., 1991, ISSAC '91 Proceedings of the 1991 international symposium on Symbolic and algebraic computation. New York: Association for Computing Machinery, p. 32-38

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Open Access
File
1990
89 Downloads (Pure)

Scratchpad's view of algebra I: Basic commutative algebra

Davenport, J. H. & Trager, B. M., 1990, Design and Implementation of Symbolic Computation Systems: International Symposium DISCO '90 Capri, Italy, April 10–12, 1990 Proceedings. Berlin: Springer, p. 40-54 (Lecture Notes in Computer Science; vol. 429/1990).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Open Access
File
Basic Algebra
Commutative Algebra
Algebra
Computer algebra system
Polynomial function
1989

A geometric algebra system

Bowyer, A., Davenport, J. H., Milne, P. S., Padget, J. A. & Wallis, A. F., 1989, Geometric Reasoning. Woodwark, J. R. (ed.). Oxford, UK: Clarendon Press, p. 1-30 30 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Applications of computer algebra in solid modelling

Bowyer, A., Davenport, J. H., Milne, P. S., Padget, J. & Wallis, A. F., 1989, Eurocal '87: European Conference on Computer Algebra Leipzig, GDR, June 2–5, 1987: Proceedings. Berlin: Springer, p. 244-245 2 p. (Lecture Notes in Computer Science; vol. 378).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Effective tests for cyclotomic polynomials

Bradford, R. J. & Davenport, J. H., 1989, Symbolic and Algebraic Computation: International Symposium ISSAC '88, Rome, Italy, July 4-8, 1988: Proceedings. Gianni, P. (ed.). Berlin, Germany: Springer, p. 244-251 8 p. (Lecture Notes in Computer Science; vol. 358).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

The use of symbolic computation in geometric modelling

Wallis, A. F., Bowyer, A., Davenport, J. H., Milne, P. S. & Padget, J. A., 1 Sep 1989, Proceedings of the 3rd IMA Conference on the Mathematics of Surfaces (IMA),1988. Handscomb, D. C. (ed.). New York, U. S. A.: Clarendon Press, p. 199-206 8 p. (Mathematics of Surfaces).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1988

A remark on a paper by Wang: another surprising property of 42

Abbott, J. A. & Davenport, J., Oct 1988, In : Mathematics of Computation. 51, 184, p. 837-839

Research output: Contribution to journalArticle

Factorisation of polynomials: old ideas and recent results

Abbott, J. A., Bradford, R. J. & Davenport, J., 1988, Proceedings of the International Symposium on Trends in Computer Algebra . Rainer, J. (ed.). London, UK: Springer, p. 81-91

Research output: Chapter in Book/Report/Conference proceedingChapter

Solution of Some Equations in Biochemistry

Bennett, J. P., Davenport, J. H. & Sauro, H. M., 1988, Bath, UK: University of Bath.

Research output: Book/ReportOther report

1987

Polynomial factorization

Abbott, J. A. & Davenport, J., Jun 1987, EUROCAL '87: Proceedings of the European Conference on Computer Algebra. Davenport, J. (ed.). New York, USA: Springer, p. 391-402 (Lecture Notes in Computer Science; vol. 378).

Research output: Chapter in Book/Report/Conference proceedingChapter

1986

On numbers and polynomials

Davenport, J. & Padget, J., 1986, Computers and Computing: Proceedings of the International Conference, Future Trends of Computing dedicated to N. Gastinel, grenoble, 2-6 December 1985. Chenin, P., Crescenzo, C. D. & Robert, F. (eds.). Chichester, U. K.: Wiley Masson, p. 49-53 5 p. (Études et recherches en informatique).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

The Bath algebraic number package

Abbott, J. A., Bradford, R. J. & Davenport, J., 1986, SYMSAC 86: Symposium on Symbolic and Algebraic Computation: papers. Char, B. W. (ed.). New York, USA: Association for Computing Machinery, p. 250-253

Research output: Chapter in Book/Report/Conference proceedingChapter

1985

An application of factoring

Coppersmith, D. & Davenport, J. H., 1985, In : Journal of Symbolic Computation. 1, p. 241-243 3 p.

Research output: Contribution to journalArticle

A remark on factorisation

Abbott, J. A., Bradford, R. J. & Davenport, J., May 1985, In : SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation). 19, 2, p. 31-33

Research output: Contribution to journalArticle

HEUGCD- How elementary upperbounds generate cheaper data

Davenport, J. & Padget, J., 1 Apr 1985, EUROCAL '85: European Conference on Computer Algebra Linz, Austria, April 1–3 1985 Proceedings Vol. 2: Research Contributions. Caviness, B. F. (ed.). Berlin, Germany: Springer Verlag, p. 18-28 11 p. (Lecture Notes in Computer Science; vol. 204).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1983

Integration - what do we want from the theory?

Davenport, J. H., 1983, Computer Algebra: EUROCAL '83, European Computer Algebra Conference, London, England, March 28-30, 1983: Proceedings. Hultzen, J. A. V. (ed.). Berlin, Germany: Springer, p. 2-11 10 p. (Lecture Notes in Computer Science; vol. 162).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1982

The Parallel Risch Algorithm (I)

Davenport, J. H., 1982, Computer algebra: EUROCAM '82, European Computer Algebra Conference, Marseille, France 5-7 April 1982. Calmet, J. (ed.). Berlin, Germany: Springer, p. 144-157 14 p. (Lecture Notes in Computer Science; vol. 144).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1981

Effective mathematics: the computer algebra viewpoint

Davenport, J. H., 1981, Constructive Mathematics: Proceedings of the New Mexico State University Conference Held at Las Cruces, New Mexico, August 11-15, 1980. Richman, F. (ed.). Berlin, Germany: Springer, p. 31-43 13 p. (Springer Lecture Notes in Mathematics; vol. 873).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

On the Integration of Algebraic Functions

Davenport, J. H., 1981, Berlin, Germany: Springer. (Lecture Notes in Computer Science; vol. 102)

Research output: Book/ReportBook

1979

Algorithms for the integration of algebraic functions

Davenport, J. H., 1979, Symbolic and Algebraic Computation: Eurosam '79, An International Symposium on Symbolic and Algebraic Manipulation, Marseille, France, June 1979. Ng, E. W. (ed.). Berlin, Germany: Springer, p. 415-425 11 p. (Lecture Notes in Computer Science; vol. 72).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Anatomy of an integral

Davenport, J. H., 1979, In : SIGSAM Bulletin. 13, 4, p. 16-18 3 p.

Research output: Contribution to journalArticle

The computerisation of algebraic geometry

Davenport, J. H., 1979, Symbolic and Algebraic Computation : Eurosam '79, An International Symposium on Symbolic and Algebraic Manipulation, Marseille, France, June 1979. Ng, E. W. (ed.). Berlin, Germany: Springer, p. 119-133 15 p. (Lecture Notes in Computer Science; vol. 72).

Research output: Chapter in Book/Report/Conference proceedingConference contribution