Van Der Poorten, A. J.
Overview
Works:  20 works in 88 publications in 3 languages and 2,950 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Honoree, Recipient, Creator 
Classifications:  QA244, 512.74 
Publication Timeline
.
Most widely held works about
A. J Van Der Poorten
 Number theory and related fields : in memory of Alf van der Poorten by Jonathan M Borwein( Book )
Most widely held works by
A. J Van Der Poorten
Notes on Fermat's last theorem by
A. J Van Der Poorten(
Book
)
15 editions published between 1996 and 2007 in English and Japanese and held by 816 WorldCat member libraries worldwide
This book not only tells us why, in all likelihood, Fermat did not have the proof for his last theorem, it also takes us through historical attempts to crack the theorem, the prizes that were offered along the way, and the consequent motivation for the development of other areas of mathematics. Notes on Fermat's Last Theorem is invaluable for students of mathematics, and of real interest to those in the physical sciences, engineering, and computer sciences  indeed for anyone who craves a glimpse at this fascinating piece of mathematical history
15 editions published between 1996 and 2007 in English and Japanese and held by 816 WorldCat member libraries worldwide
This book not only tells us why, in all likelihood, Fermat did not have the proof for his last theorem, it also takes us through historical attempts to crack the theorem, the prizes that were offered along the way, and the consequent motivation for the development of other areas of mathematics. Notes on Fermat's Last Theorem is invaluable for students of mathematics, and of real interest to those in the physical sciences, engineering, and computer sciences  indeed for anyone who craves a glimpse at this fascinating piece of mathematical history
Diophantine analysis : proceedings of the Number Theory Section of the 1985 Australian Mathematical Society Convention by
Australian Mathematical Society(
Book
)
12 editions published between 1985 and 1986 in English and held by 317 WorldCat member libraries worldwide
12 editions published between 1985 and 1986 in English and held by 317 WorldCat member libraries worldwide
Computational algebra and number theory by
Wieb Bosma(
Book
)
15 editions published between 1995 and 2011 in English and held by 143 WorldCat member libraries worldwide
Audience: Students, experts, and those performing current research in any of the topics mentioned above
15 editions published between 1995 and 2011 in English and held by 143 WorldCat member libraries worldwide
Audience: Students, experts, and those performing current research in any of the topics mentioned above
High primes and misdemeanours : lectures in honour of the 60th birthday of Hugh Cowie Williams(
Book
)
4 editions published in 2004 in English and held by 121 WorldCat member libraries worldwide
"This volume consists of a selection of papers based on presentations made at the international conference on number theory held in honor of Hugh Williams' sixtieth birthday. The papers address topics in the areas of computational and explicit number theory and its applications. The material is suitable for graduate students and researchers interested in number theory."Jacket
4 editions published in 2004 in English and held by 121 WorldCat member libraries worldwide
"This volume consists of a selection of papers based on presentations made at the international conference on number theory held in honor of Hugh Williams' sixtieth birthday. The papers address topics in the areas of computational and explicit number theory and its applications. The material is suitable for graduate students and researchers interested in number theory."Jacket
Neverending fractions : an introduction to continued fractions by
Jonathan M Borwein(
Book
)
3 editions published in 2014 in English and held by 107 WorldCat member libraries worldwide
3 editions published in 2014 in English and held by 107 WorldCat member libraries worldwide
Algorithmic number theory : 8th international symposium, ANTSVIII, Banff, Canada, May 1722, 2008 : proceedings by
A. J Van Der Poorten(
Book
)
13 editions published in 2008 in English and held by 98 WorldCat member libraries worldwide
This book constitutes the refereed proceedings of the 8th International Algorithmic Number Theory Symposium, ANTS 2008, held in Banff, Canada, in May 2008. The 28 revised full papers presented together with 2 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on elliptic curves cryptology and generalizations, arithmetic of elliptic curves, integer factorization, K3 surfaces, number fields, point counting, arithmetic of function fields, modular forms, cryptography, and number theory
13 editions published in 2008 in English and held by 98 WorldCat member libraries worldwide
This book constitutes the refereed proceedings of the 8th International Algorithmic Number Theory Symposium, ANTS 2008, held in Banff, Canada, in May 2008. The 28 revised full papers presented together with 2 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on elliptic curves cryptology and generalizations, arithmetic of elliptic curves, integer factorization, K3 surfaces, number fields, point counting, arithmetic of function fields, modular forms, cryptography, and number theory
Number theoretic and algebraic methods in computer science : proceedings of the international conference, Moscow, June/July
1993 by International conference: Number Theoretic and Algebraic methods in Computer science(
Book
)
5 editions published between 1993 and 1995 in English and held by 85 WorldCat member libraries worldwide
5 editions published between 1993 and 1995 in English and held by 85 WorldCat member libraries worldwide
Computer verification of the AnkenyArtinChowla conjecture for all primes less than 100 000 000 000 by
A. J Van Der Poorten(
Book
)
6 editions published in 1999 in English and held by 14 WorldCat member libraries worldwide
Let p be a prime congruent to 1 modulo 4 and let t, u be rational integers such that (t+u por raiz de p)/2 is the fundamental unit of the real quadratic field Q (raiz de p). The AnkenyArtinChowla conjecture (AACC) asserts that p will not divide u. This is equivalent to the assertation that p will no divided B sub (p1)/2, where B sub n denotes the nth Bernoulli number. Although first published in 1952, this conjecture still remains unproved today. Indeed, it appears to be most difficult to prove. Even testing the conjecture can be quite challenging because of the size of the numbers t, u; for example, when p=40 094 470 441, then both t and u exceed 10 elevado a la 330000. In 1988 the AAC conjecture was verified by computer for all p10 elevado a la 9 . In this paper we describe a new technique for testing the AAC conjecture and we provide some results of a computer run of the method for all primes p up to 100 elevado a la 11
6 editions published in 1999 in English and held by 14 WorldCat member libraries worldwide
Let p be a prime congruent to 1 modulo 4 and let t, u be rational integers such that (t+u por raiz de p)/2 is the fundamental unit of the real quadratic field Q (raiz de p). The AnkenyArtinChowla conjecture (AACC) asserts that p will not divide u. This is equivalent to the assertation that p will no divided B sub (p1)/2, where B sub n denotes the nth Bernoulli number. Although first published in 1952, this conjecture still remains unproved today. Indeed, it appears to be most difficult to prove. Even testing the conjecture can be quite challenging because of the size of the numbers t, u; for example, when p=40 094 470 441, then both t and u exceed 10 elevado a la 330000. In 1988 the AAC conjecture was verified by computer for all p10 elevado a la 9 . In this paper we describe a new technique for testing the AAC conjecture and we provide some results of a computer run of the method for all primes p up to 100 elevado a la 11
Diophantine analysis : Number theory section : Convention by
Australian Mathematical Society(
)
1 edition published in 1986 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 3 WorldCat member libraries worldwide
Poorten en SchoorsteenMantels en Autare by
A. J Van Der Poorten(
Book
)
1 edition published in 1680 in Undetermined and held by 2 WorldCat member libraries worldwide
1 edition published in 1680 in Undetermined and held by 2 WorldCat member libraries worldwide
A specialised continued fraction by
A. J Van Der Poorten(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
CANT'95 : conference abstracts and other information(
Book
)
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide
Zero testing of padic and modular polynomials by
Marek Karpiński(
Book
)
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
Number theoretic and algebraic methods in computer science (Moscow ; June/July 1993)(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Nearprimitive roots by
Pieter Moree(
)
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
1 edition published in 2011 in English and held by 1 WorldCat member library worldwide
Brief van Van Loghum Slaterus' Uitgeversmaatschappij, Arnhem aan Poorten by Van Loghum Slaterus' Uitgeversmaatschappij (Arnhem)(
)
in Undetermined and held by 1 WorldCat member library worldwide
in Undetermined and held by 1 WorldCat member library worldwide
Recurrence sequences by
Graham Everest(
)
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Recurrent sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics, including combinatorics, dynamical systems and cryptography, and to computer science are described
1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide
Recurrent sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics, including combinatorics, dynamical systems and cryptography, and to computer science are described
Algorithmic Number Theory : 8th International Symposium, ANTSVIII Banff, Canada, May 1722, 2008 Proceedings(
)
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 0 WorldCat member libraries worldwide
De Amsteldamsche Schouwburg. Aan den derden Kato. In Latynsch liergedigt beschreeven by
Amstelophilus(
Book
)
1 edition published in 1738 in Dutch and held by 0 WorldCat member libraries worldwide
1 edition published in 1738 in Dutch and held by 0 WorldCat member libraries worldwide
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Related Identities
 Loxton, J. H. Author Editor
 Australian Mathematical Society Number Theory Section Editor
 Australian Mathematical Society Convention (1985 : University of New South Wale)
 Stein, Andreas 1965 Editor
 Bosma, Wieb Other Author Creator
 Zudilin, Wadim
 Borwein, Jonathan M. Author
 Shallit, Jeffrey Outlaw
 Shparlinski, Igor E. Editor
 Williams, Hugh C.
Useful Links
Associated Subjects
Algebra AlgebraData processing Algebraic number theoryData processing Algorithms Amsterdamse Schouwburg Anniversaries Combinatorial analysis Computational complexity Computer algorithms Computer science Computer scienceMathematics Computer software Continued fractions Continued fractionsData processing Data encryption (Computer science) Diophantine analysis Electronic data processing Fermat's last theorem Fractions Group theory Mathematics Numbers, Prime Number theory Number theoryData processing Processes, Infinite Recurrent sequences (Mathematics)
Alternative Names
Alf van der Poorten australischer Mathematiker
Alfred van der Poorten wiskundige uit Australië (19422010)
Der Poorten, A. J. van
der Poorten, A. J. van 19422010
Der Poorten, Alf J. van 1942
der Poorten, Alf J. van 19422010
Der Poorten, Alf Jacobus Van
Der Poorten Alf Jacobus Van 1942....
Der Poorten, Alf van 19422010
der Poorten, Alfred J. van 19422010
DerPoorten, Alf van 19422010
Poorten, A. J. van der.
Poorten, A. J. van der 1942
Poorten, A. J. van der 19422010
Poorten, Alf J. van der 19422010
Poorten, Alf Jacobus Van Der
Poorten Alf Jacobus Van Der 1942....
Poorten, Alf van der.
Poorten, Alf van der 19422010
Poorten, Alfred J. van der 19422010
Van der Poorten, A. J.
Van der Poorten, A. J. 19422010
Van der Poorten, Alf.
Van der Poorten, Alf 19422010
Van der Poorten, Alf J.
van der Poorten, Alfred J
Van der Poorten, Alfred J. 19422010
VanDerPoorten, Alf 19422010
VanDerPoorten, Alf J. 19422010
アルフレッド・ファン・デル・ポールテン
ファン・デル・プールテン, アルフ
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