Computational Number Theory : : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 / / ed. by Attila Pethoe, Horst G. Zimmer, Hugh C. Williams, Michael Pohst.

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spelling Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 / ed. by Attila Pethoe, Horst G. Zimmer, Hugh C. Williams, Michael Pohst.
Reprint 2011
Berlin ; Boston : De Gruyter, [2011]
©1991
1 online resource (342 p.) : Num. tabs.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
I-IV -- Preface -- List of contributors -- Table of contents -- On the construction of primitive elements and primitive normal bases in a finite field -- A numerical method for the determination of the cyclotomic polynomial coefficients -- Number systems -- Fast converging series representations of real numbers and their implementations in digital processing -- On a polynomial transformation and its application to the construction of a public key cryptosystem -- Number-theoretic transforms and a theorem of Sylvester - Kronecker - Zsigmondy -- A probabilistic class group and regulator algorithm and its implementation -- Prime—producing quadratic polynomials and class numbers of quadratic orders -- Applications of a new class number two criterion for real quadratic fields -- On a solution of a class number two problem for a family of real quadratic fields -- Cubic number fields with exceptional units -- Enumeration of totally complex quartic fields of small discriminant -- Class number computation by cyclotomic or elliptic units -- Computing fundamental units from independent units -- A note on index divisors -- Computation of independent units in number fields by a combination of the methods of Buchmann/Pethö and Pohst / Zassenhaus -- Hecke actions on classes of ternary quadratic forms -- Computation of singular moduli by multi-valued modular equations -- Congruent numbers and elliptic curves -- The rank of elliptic curves upon quadratic extension -- On the resolution of some diophantine equations -- Index form equations in cubic number fields -- On the practical solution of the Thue-Mahler equation -- Some results on Thue equations and Thue-Mahler equations -- On the solution of the diophantine equation Gn = P(x) with sieve algorithm -- On Thue equations associated with certain quartic number fields -- KANT - a tool for computations in algebraic number fields -- SIMATH - a computer algebra system
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jun 2022)
Number theory Data processing Congresses.
Congresses.
Data processing.
Number theory.
MATHEMATICS / General. bisacsh
Arenz, B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Birch, B.J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Buchmann, J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Cohn, Harvey, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Creutzburg, R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Düllmann, S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Ennola, V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Evertse, J.H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Ford, D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Gaál, I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Graf, J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Grytczuk, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Halter-Koch, F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Hollinger, C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Kovács, Β., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Melnichuk, Yu. V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Mollin, R.A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Nakamula, K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Nemes, I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Pethoe, Attila, editor. edt http://id.loc.gov/vocabulary/relators/edt
Pethö, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Pohst, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Pohst, Michael, editor. edt http://id.loc.gov/vocabulary/relators/edt
Schneiders, U., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Schröter, U., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Schulte, Ν., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Serf, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Shparlinskiy, I.E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Steidl, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Stepanov, S.A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Stroeker, R.J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Tasche, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Tropak, B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Tzanakis, N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Weger, B.M.M. de, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Williams, H.C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Williams, Hugh C., editor. edt http://id.loc.gov/vocabulary/relators/edt
Zimmer, H. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Zimmer, Horst G., editor. edt http://id.loc.gov/vocabulary/relators/edt
Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 9783110637199 ZDB-23-GMA
print 9783110123944
https://doi.org/10.1515/9783110865950
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Arenz, B.,
Birch, B.J.,
Birch, B.J.,
Buchmann, J.,
Buchmann, J.,
Cohn, Harvey,
Cohn, Harvey,
Creutzburg, R.,
Creutzburg, R.,
Düllmann, S.,
Düllmann, S.,
Ennola, V.,
Ennola, V.,
Evertse, J.H.,
Evertse, J.H.,
Ford, D.,
Ford, D.,
Gaál, I.,
Gaál, I.,
Graf, J.,
Graf, J.,
Grytczuk, A.,
Grytczuk, A.,
Halter-Koch, F.,
Halter-Koch, F.,
Hollinger, C.,
Hollinger, C.,
Kovács, Β.,
Kovács, Β.,
Melnichuk, Yu. V.,
Melnichuk, Yu. V.,
Mollin, R.A.,
Mollin, R.A.,
Nakamula, K.,
Nakamula, K.,
Nemes, I.,
Nemes, I.,
Pethoe, Attila,
Pethoe, Attila,
Pethö, A.,
Pethö, A.,
Pohst, M.,
Pohst, M.,
Pohst, Michael,
Pohst, Michael,
Schneiders, U.,
Schneiders, U.,
Schröter, U.,
Schröter, U.,
Schulte, Ν.,
Schulte, Ν.,
Serf, P.,
Serf, P.,
Shparlinskiy, I.E.,
Shparlinskiy, I.E.,
Steidl, G.,
Steidl, G.,
Stepanov, S.A.,
Stepanov, S.A.,
Stroeker, R.J.,
Stroeker, R.J.,
Tasche, M.,
Tasche, M.,
Tropak, B.,
Tropak, B.,
Tzanakis, N.,
Tzanakis, N.,
Weger, B.M.M. de,
Weger, B.M.M. de,
Williams, H.C.,
Williams, H.C.,
Williams, Hugh C.,
Williams, Hugh C.,
Zimmer, H. G.,
Zimmer, H. G.,
Zimmer, Horst G.,
Zimmer, Horst G.,
author_facet Arenz, B.,
Arenz, B.,
Birch, B.J.,
Birch, B.J.,
Buchmann, J.,
Buchmann, J.,
Cohn, Harvey,
Cohn, Harvey,
Creutzburg, R.,
Creutzburg, R.,
Düllmann, S.,
Düllmann, S.,
Ennola, V.,
Ennola, V.,
Evertse, J.H.,
Evertse, J.H.,
Ford, D.,
Ford, D.,
Gaál, I.,
Gaál, I.,
Graf, J.,
Graf, J.,
Grytczuk, A.,
Grytczuk, A.,
Halter-Koch, F.,
Halter-Koch, F.,
Hollinger, C.,
Hollinger, C.,
Kovács, Β.,
Kovács, Β.,
Melnichuk, Yu. V.,
Melnichuk, Yu. V.,
Mollin, R.A.,
Mollin, R.A.,
Nakamula, K.,
Nakamula, K.,
Nemes, I.,
Nemes, I.,
Pethoe, Attila,
Pethoe, Attila,
Pethö, A.,
Pethö, A.,
Pohst, M.,
Pohst, M.,
Pohst, Michael,
Pohst, Michael,
Schneiders, U.,
Schneiders, U.,
Schröter, U.,
Schröter, U.,
Schulte, Ν.,
Schulte, Ν.,
Serf, P.,
Serf, P.,
Shparlinskiy, I.E.,
Shparlinskiy, I.E.,
Steidl, G.,
Steidl, G.,
Stepanov, S.A.,
Stepanov, S.A.,
Stroeker, R.J.,
Stroeker, R.J.,
Tasche, M.,
Tasche, M.,
Tropak, B.,
Tropak, B.,
Tzanakis, N.,
Tzanakis, N.,
Weger, B.M.M. de,
Weger, B.M.M. de,
Williams, H.C.,
Williams, H.C.,
Williams, Hugh C.,
Williams, Hugh C.,
Zimmer, H. G.,
Zimmer, H. G.,
Zimmer, Horst G.,
Zimmer, Horst G.,
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author_sort Arenz, B.,
title Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 /
spellingShingle Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 /
I-IV --
Preface --
List of contributors --
Table of contents --
On the construction of primitive elements and primitive normal bases in a finite field --
A numerical method for the determination of the cyclotomic polynomial coefficients --
Number systems --
Fast converging series representations of real numbers and their implementations in digital processing --
On a polynomial transformation and its application to the construction of a public key cryptosystem --
Number-theoretic transforms and a theorem of Sylvester - Kronecker - Zsigmondy --
A probabilistic class group and regulator algorithm and its implementation --
Prime—producing quadratic polynomials and class numbers of quadratic orders --
Applications of a new class number two criterion for real quadratic fields --
On a solution of a class number two problem for a family of real quadratic fields --
Cubic number fields with exceptional units --
Enumeration of totally complex quartic fields of small discriminant --
Class number computation by cyclotomic or elliptic units --
Computing fundamental units from independent units --
A note on index divisors --
Computation of independent units in number fields by a combination of the methods of Buchmann/Pethö and Pohst / Zassenhaus --
Hecke actions on classes of ternary quadratic forms --
Computation of singular moduli by multi-valued modular equations --
Congruent numbers and elliptic curves --
The rank of elliptic curves upon quadratic extension --
On the resolution of some diophantine equations --
Index form equations in cubic number fields --
On the practical solution of the Thue-Mahler equation --
Some results on Thue equations and Thue-Mahler equations --
On the solution of the diophantine equation Gn = P(x) with sieve algorithm --
On Thue equations associated with certain quartic number fields --
KANT - a tool for computations in algebraic number fields --
SIMATH - a computer algebra system
title_sub Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 /
title_full Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 / ed. by Attila Pethoe, Horst G. Zimmer, Hugh C. Williams, Michael Pohst.
title_fullStr Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 / ed. by Attila Pethoe, Horst G. Zimmer, Hugh C. Williams, Michael Pohst.
title_full_unstemmed Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 / ed. by Attila Pethoe, Horst G. Zimmer, Hugh C. Williams, Michael Pohst.
title_auth Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 /
title_alt I-IV --
Preface --
List of contributors --
Table of contents --
On the construction of primitive elements and primitive normal bases in a finite field --
A numerical method for the determination of the cyclotomic polynomial coefficients --
Number systems --
Fast converging series representations of real numbers and their implementations in digital processing --
On a polynomial transformation and its application to the construction of a public key cryptosystem --
Number-theoretic transforms and a theorem of Sylvester - Kronecker - Zsigmondy --
A probabilistic class group and regulator algorithm and its implementation --
Prime—producing quadratic polynomials and class numbers of quadratic orders --
Applications of a new class number two criterion for real quadratic fields --
On a solution of a class number two problem for a family of real quadratic fields --
Cubic number fields with exceptional units --
Enumeration of totally complex quartic fields of small discriminant --
Class number computation by cyclotomic or elliptic units --
Computing fundamental units from independent units --
A note on index divisors --
Computation of independent units in number fields by a combination of the methods of Buchmann/Pethö and Pohst / Zassenhaus --
Hecke actions on classes of ternary quadratic forms --
Computation of singular moduli by multi-valued modular equations --
Congruent numbers and elliptic curves --
The rank of elliptic curves upon quadratic extension --
On the resolution of some diophantine equations --
Index form equations in cubic number fields --
On the practical solution of the Thue-Mahler equation --
Some results on Thue equations and Thue-Mahler equations --
On the solution of the diophantine equation Gn = P(x) with sieve algorithm --
On Thue equations associated with certain quartic number fields --
KANT - a tool for computations in algebraic number fields --
SIMATH - a computer algebra system
title_new Computational Number Theory :
title_sort computational number theory : proceedings of the colloquium on computational number theory held at kossuth lajos university, debrecen (hungary), september 4-9, 1989 /
publisher De Gruyter,
publishDate 2011
physical 1 online resource (342 p.) : Num. tabs.
Issued also in print.
edition Reprint 2011
contents I-IV --
Preface --
List of contributors --
Table of contents --
On the construction of primitive elements and primitive normal bases in a finite field --
A numerical method for the determination of the cyclotomic polynomial coefficients --
Number systems --
Fast converging series representations of real numbers and their implementations in digital processing --
On a polynomial transformation and its application to the construction of a public key cryptosystem --
Number-theoretic transforms and a theorem of Sylvester - Kronecker - Zsigmondy --
A probabilistic class group and regulator algorithm and its implementation --
Prime—producing quadratic polynomials and class numbers of quadratic orders --
Applications of a new class number two criterion for real quadratic fields --
On a solution of a class number two problem for a family of real quadratic fields --
Cubic number fields with exceptional units --
Enumeration of totally complex quartic fields of small discriminant --
Class number computation by cyclotomic or elliptic units --
Computing fundamental units from independent units --
A note on index divisors --
Computation of independent units in number fields by a combination of the methods of Buchmann/Pethö and Pohst / Zassenhaus --
Hecke actions on classes of ternary quadratic forms --
Computation of singular moduli by multi-valued modular equations --
Congruent numbers and elliptic curves --
The rank of elliptic curves upon quadratic extension --
On the resolution of some diophantine equations --
Index form equations in cubic number fields --
On the practical solution of the Thue-Mahler equation --
Some results on Thue equations and Thue-Mahler equations --
On the solution of the diophantine equation Gn = P(x) with sieve algorithm --
On Thue equations associated with certain quartic number fields --
KANT - a tool for computations in algebraic number fields --
SIMATH - a computer algebra system
isbn 9783110865950
9783110637199
9783110123944
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA241
callnumber-sort QA 3241 C6874 41989
genre_facet Congresses.
url https://doi.org/10.1515/9783110865950
https://www.degruyter.com/isbn/9783110865950
https://www.degruyter.com/document/cover/isbn/9783110865950/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 512 - Algebra
dewey-full 512/.7
dewey-sort 3512 17
dewey-raw 512/.7
dewey-search 512/.7
doi_str_mv 10.1515/9783110865950
oclc_num 979586295
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hierarchy_parent_title Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
is_hierarchy_title Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 /
container_title Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
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