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van der Poorten, Alfred J. (b. 1942 d. 2010)

Author ID: van-der-poorten.alfred-j Recent zbMATH articles by "van der Poorten, Alfred J."
Published as: van der Poorten, A. J.; van der Poorten, Alfred J.; van der Poorten, Alf; van der Poorten, Alf J.; van der Poorten, Alfred; Van der Poorten, Alfred J.; Van der Poorten, A. J.
Homepage: http://www.maths.mq.edu.au/~alf/
External Links: MGP · Wikidata · dblp · GND · IdRef
all top 5

Co-Authors

75 single-authored
21 Loxton, John H.
12 Mendès France, Michel
6 Shparlinski, Igor E.
5 Bombieri, Enrico
5 Shallit, Jeffrey Outlaw
5 Williams, Hugh Cowie
3 Allouche, Jean-Paul Simon
3 Dekking, Frederik Michel
3 Everest, Graham Robert
3 Hunt, David C.
3 Mollin, Richard Anthony
3 Patterson, Roger D.
3 Rumely, Robert S.
3 Schlickewei, Hans Peter
3 Tijdeman, Robert
2 Dwork, Bernard Morris
2 Morris, Sidney A.
2 Pintér, Ákos
2 Stein, Andreas
2 te Riele, Herman
2 Vaaler, Jeffrey D.
2 Voorhoeve, Marc
2 Waldschmidt, Michel
2 Ward, Thomas
2 Williams, Kenneth S.
1 Ah-Mah, Teur
1 Banks, William David
1 Beukers, Frits
1 Bézivin, Jean-Paul
1 Borwein, Jonathan Michael
1 Bosma, Wieb
1 Brent, Richard Peirce
1 Brindza, Béla
1 Burger, Edward B.
1 Chapman, Robin J.
1 Coates, John Henry
1 Cox, Chris D.
1 Glass, Jon P.
1 Inkeri, Kustaa
1 Jacobson, Michael John jun.
1 Karpinski, Marek
1 Komatsu, Takao
1 Krantz, Steven George
1 Kuperberg, Gregory John
1 Laohakosol, Vichian
1 Lehmer, Derrick Henry
1 Lipshitz, Leonard
1 Lubiw, Anna
1 Mahler, Kurt
1 Mignotte, Maurice
1 Moore, R. R.
1 Myerson, Gerald Ira
1 Neumann, Bernhard Hermann
1 Pappalardi, Francesco
1 Pethő, Attila
1 Pinner, Christopher G.
1 Puri, Yash
1 Rotkiewicz, Andrzej
1 Saradha, N.
1 Schinzel, Andrzej
1 Shorey, Tarlok Nath
1 Swart, Christine S.
1 Talent, R. C.
1 Thomsen, Kurt
1 Tran, Xuan Chuong
1 Tretkoff, Paula
1 Walsh, Peter Gareth
1 Wiebe, Mark
1 Woeginger, Gerhard
1 Xuan Chuong Tran
1 Yager, Rodney Ian
1 Zimmer, Horst Günter
1 Zudilin, Wadim
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Serials

17 Bulletin of the Australian Mathematical Society
11 Journal of the Australian Mathematical Society. Series A
9 Acta Arithmetica
5 The Mathematical Intelligencer
5 The Australian Mathematical Society Gazette
4 American Mathematical Monthly
4 Mathematics of Computation
4 Journal of the Australian Mathematical Society
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Canadian Journal of Mathematics
3 Comptes Rendus Mathématiques de l’Académie des Sciences
3 Journal de Théorie des Nombres de Bordeaux
3 Journal of Integer Sequences
3 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Rocky Mountain Journal of Mathematics
2 Bulletin of the London Mathematical Society
2 Duke Mathematical Journal
2 Journal of Number Theory
2 Journal and Proceedings of the Royal Society of New South Wales
2 Journal für die Reine und Angewandte Mathematik
2 Proceedings of the American Mathematical Society
2 Theoretical Computer Science
2 Aequationes Mathematicae
2 L’Enseignement Mathématique. 2e Série
2 Nieuw Archief voor Wiskunde. Vierde Serie
2 Experimental Mathematics
1 Acta Scientiarum Mathematicarum
1 American Journal of Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Japanese Journal of Mathematics. New Series
1 Mathematica Slovaca
1 Mathematika
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Publicationes Mathematicae Debrecen
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Indagationes Mathematicae. New Series
1 The Ramanujan Journal
1 Australian Mathematical Society Lecture Series
1 Fields Institute Communications
1 Lecture Notes in Computer Science
1 London Mathematical Society Lecture Note Series
1 Mathematics and its Applications (Dordrecht)
1 Mathematical Surveys and Monographs
1 Publications Mathématiques d’Orsay
1 Canadian Mathematical Society Series of Monographs and Advanced Texts

Publications by Year

Citations contained in zbMATH Open

175 Publications have been cited 1,462 times in 1,017 Documents Cited by Year
Recurrence sequences. Zbl 1033.11006
Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas
190
2003
A proof that Euler missed. Apéry’s proof of the irrationality of \(\zeta(3)\). An informal report. Zbl 0409.10028
van der Poorten, Alfred
142
1979
Folds! Zbl 0493.10001
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
39
1982
Folded continued fractions. Zbl 0753.11005
van der Poorten, A. J.; Shallit, J.
37
1992
Arithmetic properties of certain functions in several variables. III. Zbl 0339.10028
Loxton, J. H.; van der Poorten, A. J.
32
1977
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
29
2014
Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than \(100 000 000 000\). Zbl 0987.11065
van der Poorten, A. J.; te Riele, H. J. J.; Williams, H. C.
29
2001
Recurrence relations for elliptic sequences: every Somos 4 is a Somos \(k\). Zbl 1169.11013
van der Poorten, Alfred J.; Swart, Christine S.
28
2006
Solution of Pisot’s conjecture on the Hadamard quotient of two rational functions. (Solution de la conjecture de Pisot sur le quotient de Hadamard de deux fractions rationnelles.) Zbl 0635.10007
van der Poorten, Alfred J.
25
1988
Arithmetic and analytic properties of paper folding sequences. Zbl 0451.10018
Mendès France, Michel; van der Poorten, A. J.
21
1981
A class of hypertranscendental functions. Zbl 0384.10014
Loxton, J. H.; van der Poorten, A. J.
21
1977
Folds! III: More morphisms. Zbl 0493.10003
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
21
1982
Some facts that should be better known, especially about rational functions. Zbl 0687.10007
van der Poorten, A. J.
19
1989
Additive relations in fields. Zbl 0747.11017
van der Poorten, A. J.; Schlickewei, H. P.
19
1991
Applications of the Gel’fond-Baker method to Diophantine equations. Zbl 0371.10015
Shorey, T. N.; van der Poorten, A. J.; Tijdeman, R.; Schinzel, Andrzej
19
1977
An introduction to continued fractions. Zbl 0596.10008
van der Poorten, A. J.
17
1986
Transcendence and algebraic independence by a method of Mahler. Zbl 0378.10020
Loxton, J. H.; van der Poorten, A. J.
17
1977
Arithmetic properties of automata: regular sequences. Zbl 0656.10033
Loxton, J. H.; van der Poorten, A. J.
16
1988
Arithmetic properties of the solutions of a class of functional equations. Zbl 0468.10019
Loxton, J. H.; van der Poorten, A. J.
16
1982
Algebraic independence properties of the Fredholm series. Zbl 0392.10034
Loxton, J. H.; van der Poorten, A. J.
16
1978
Zeros of recurrence sequences. Zbl 0724.11006
van der Poorten, A. J.; Schlickewei, H. P.
16
1991
The Eisenstein constant. Zbl 0770.11051
Dwork, Bernard M.; van der Poorten, Alfred J.
15
1992
Multiplicative relations in number fields. Zbl 0335.10023
van der Poorten, A. J.; Loxton, J. H.
15
1977
A full characterisation of divisibility sequences. Zbl 0716.11008
Bézivin, Jean-Paul; Pethö, Attila; van der Poorten, Alfred J.
14
1990
Wronskian determinants and the zeros of certain functions. Zbl 0316.30006
Voorhoeve, M.; van der Poorten, A. J.
14
1975
Linear forms in logarithms in the \(p\)-adic case. Zbl 0367.10034
van der Poorten, A. J.
14
1977
On the number of zeros of certain functions. Zbl 0316.30005
Voorhoeve, M.; van der Poorten, A. J.; Tijdeman, R.
13
1975
Elliptic curves of conductor 11. Zbl 0475.14031
Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J.
13
1980
Some quantitative results related to Roth’s theorem. Zbl 0664.10017
Bombieri, E.; van der Poorten, A. J.
12
1988
Substitution invariant Beatty sequences. Zbl 0868.11015
Komatsu, Takao; van der Poorten, Alfred J.
12
1996
Continued fractions of algebraic numbers. Zbl 0835.11025
Bombieri, Enrico; van der Poorten, Alfred J.
11
1995
Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035
Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D.
11
1996
Folds! II: Symmetry disturbed. Zbl 0493.10002
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
11
1982
Multiplicative dependence in number fields. Zbl 0478.10019
Loxton, J. H.; van der Poorten, A. J.
11
1983
Arithmetic properties of certain functions in several variables. II. Zbl 0339.10027
Loxton, J. H.; van der Poorten, A. J.
11
1977
On the number of zeros of functions. Zbl 0364.30005
van der Poorten, A. J.
11
1977
Transcendental entire functions mapping every algebraic number field into itself. Zbl 0162.34803
van der Poorten, A. J.
11
1968
Schneider’s continued fraction. Zbl 0790.11050
van der Poorten, A. J.
10
1993
Arithmetic properties of certain functions in several variables. Zbl 0339.10026
Loxton, J. H.; van der Poorten, A. J.
10
1977
Periodic continued fractions in elliptic function fields. Zbl 1058.11050
van der Poorten, Alfred J.; Tran, Xuan Chuong
10
2002
Quasi-elliptic integrals and periodic continued fractions. Zbl 0972.11062
van der Poorten, Alfred J.; Xuan Chuong Tran
10
2000
Some problems concerning recurrence sequences. Zbl 0844.11011
Myerson, G.; van der Poorten, Alfred J.
9
1995
Some determinants that should be better known. Zbl 0343.15002
van der Poorten, A. J.
9
1976
On the growth of recurrence sequences. Zbl 0348.10007
Loxton, J. H.; van der Poorten, A. J.
9
1977
Values of the Dedekind eta function at quadratic irrationalities. Zbl 0936.11026
van der Poorten, Alfred; Williams, Kenneth S.
9
1999
Automata and the arithmetic of formal power series. Zbl 0599.12020
Mendès France, Michel; van der Poorten, A. J.
8
1986
An infinite product with bounded partial quotients. Zbl 0749.11014
Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.
8
1991
Elliptic curves and continued fractions. Zbl 1079.11006
van der Poorten, Alfred J.
8
2005
Notes on Fermat’s last theorem. Zbl 0882.11001
van der Poorten, Alfred J.
8
1996
On common zeros of exponential polynomials. Zbl 0308.30006
van der Poorten, A. J.; Tijdeman, R.
8
1975
Formal power series and their continued fraction expansion. Zbl 0904.11005
van der Poorten, Alf
8
1998
On the number of zeros of exponential polynomials and related questions. Zbl 0753.11009
van der Poorten, A. J.; Shparlinskij, I. E.
7
1992
On linear recurrence sequences with polynomial coefficients. Zbl 0862.11011
van der Poorten, Alfred J.; Shparlinski, I. E.
7
1996
Continued fractions of formal power series. Zbl 0804.11043
van der Poorten, A. J.
7
1993
From geometry to Euler identities. Zbl 0682.10026
Mendes France, M.; van der Poorten, A. J.
7
1989
Closed subgroups of products of reals. Zbl 0305.22003
Hunt, David C.; Morris, Sidney A.; van der Poorten, Alfred J.
7
1975
p-adic methods in the study of Taylor coefficients of rational functions. Zbl 0519.10009
van der Poorten, A. J.
7
1984
Zeros of \(p\)-adic exponential polynomials. II. Zbl 0633.12006
van der Poorten, A. J.; Rumely, Robert S.
6
1987
Continued fraction expansions of values of the exponential function and related functions with continued fractions. Zbl 0862.11044
van der Poorten, Alfred J.
6
1996
A specialised continued fraction. Zbl 0797.11007
van der Poorten, A. J.; Shallit, J.
6
1993
Non-periodic continued fractions in hyperelliptic function fields. Zbl 1013.11036
van der Poorten, Alfred J.
6
2001
Integer sequences and periodic points. Zbl 1026.11022
Everest, Graham; van der Poorten, Alf J.; Puri, Yash; Ward, Thomas B.
6
2002
On the thermodynamics of curves and other curlicues. Zbl 0696.10035
Moore, R. R.; van der Poorten, A. J.
6
1989
Multi-dimensional generalizations of the Padé table. Zbl 0423.30033
Loxton, J. H.; Van der Poorten, A. J.
6
1979
Hyperelliptic curves, continued fractions, and Somos sequences. Zbl 1221.11015
van der Poorten, Alfred J.
6
2006
Curves of genus 2, continued fractions, and Somos sequences. Zbl 1177.11012
van der Poorten, Alfred J.
6
2005
A note on the Hadamard \(k\)th root of a rational function. Zbl 0635.10008
Rumely, Robert S.; van der Poorten, A. J.
5
1987
Factorisation in the ring of exponential polynomials. Zbl 1017.11009
Everest, G. R.; van der Poorten, A. J.
5
1997
Power series representing algebraic functions. Zbl 0815.11014
van der Poorten, A. J.
5
1993
Symmetry and folding of continued fractions. Zbl 1067.11001
van der Poorten, Alfred J.
5
2002
A comparative study of algorithms for computing continued fractions of algebraic numbers. Zbl 0899.11065
Brent, Richard P.; te Riele, Herman J. J.; van der Poorten, Alfred J.
5
1996
A note on Jacobi symbols and continued fractions. Zbl 0985.11004
van der Poorten, A. J.; Walsh, P. G.
5
1999
Some problems of recurrent interest. Zbl 0543.10007
van der Poorten, A. J.
5
1984
Notes on continued fractions and recurrence sequences. Zbl 0713.11007
van der Poorten, A. J.
5
1990
Bounds for solutions of systems of linear equations. Zbl 0466.10022
Vaaler, Jeffrey D.; van der Poorten, A. J.
5
1982
On algebraic functions satisfying a class of functional equations. Zbl 0339.12002
Loxton, J. H.; van der Poorten, A. J.
5
1976
A note on the zeros of exponential polynomials. Zbl 0318.30005
van der Poorten, A. J.
5
1975
Some wonderful formulas…an introduction to polylogarithms. Zbl 0448.10025
van der Poorten, Alfred J.
5
1980
A generalization of Turan’s main theorems to binomials and logarithms. Zbl 0192.39501
van der Poorten, A. J.
5
1970
Fractions of the period of the continued fraction expansion of quadratic integers. Zbl 0733.11004
van der Poorten, A. J.
5
1991
Computational aspects of NUCOMP. Zbl 1058.11074
Jacobson, Michael J. jun.; van der Poorten, Alfred J.
5
2002
Pseudo-elliptic integrals, units, and torsion. Zbl 1100.11021
Pappalardi, Francesco; van der Poorten, Alfred J.
5
2005
On certain continued fraction expansions of fixed period length. Zbl 0926.11005
van der Poorten, A. J.; Williams, H. C.
5
1999
Convergents of folded continued fractions. Zbl 0848.11004
Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
4
1996
An awful problem about integers in base four. Zbl 0636.10003
Loxton, J. H.; van der Poorten, A. J.
4
1987
Zeros of p-adic exponential polynomials. Zbl 0318.30006
van der Poorten, A. J.
4
1976
Additive relations in number fields. Zbl 0562.10015
van der Poorten, A. J.
4
1984
Generalisations of Turán’s main theorems on lower bounds for sums of powers. Zbl 0179.07101
van der Poorten, A. J.
4
1970
Hermite interpolation and p-adic exponential polynomials. Zbl 0348.12022
van der Poorten, A. J.
4
1976
Some explicit continued fraction expansions. Zbl 0708.11011
Mendès France, Michel; van der Poorten, Alfred J.
4
1991
Binary quadratic forms and the eta function. Zbl 1038.11024
Chapman, Robin; van der Poorten, Alfred J.
4
2002
Periodic continued fractions and elliptic curves. Zbl 1069.11022
van der Poorten, Alfred J.
4
2004
Characterization of a generalized Shanks sequence. Zbl 1221.11211
Patterson, Roger D.; van der Poorten, Alfred J.; Williams, Hugh C.
3
2007
Diophantine analysis. Proceedings of the Number Theory Section of the 1985 Australian Mathematical Society Convention (University of New South Wales). Zbl 0583.00005
3
1986
Obituary: Kurt Mahler, 1903–1988. Zbl 0738.01015
van der Poorten, A. J.
3
1991
On sequences of polynomials defined by certain recurrence relations. Zbl 0917.11008
van der Poorten, A. J.; Shparlinski, I. E.
3
1995
Factorisation in fractional powers. Zbl 0818.11011
van der Poorten, A. J.
3
1995
Rational functions, diagonals, automata and arithmetic. Zbl 0694.10008
Lipshitz, Leonard; van der Poorten, Alfred J.
3
1990
Corrections to “The Eisenstein constant”. Zbl 0813.11064
Dwork, Bernard M.; van der Poorten, Alfred J.
3
1994
A note on symmetry and ambiguity. Zbl 0824.11003
Mollin, R. A.; van der Poorten, A. J.
3
1995
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
29
2014
A simple observation on simple zeros. Zbl 1298.11106
Pintér, Ákos; van der Poorten, Alf
1
2010
Sequences of Jacobian varieties with torsion divisors of quadratic order. Zbl 1188.11034
Patterson, Roger D.; van der Poorten, Alfred J.; Williams, Hugh C.
2
2008
Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17–22, 2008 Proceedings. Zbl 1136.11003
1
2008
Characterization of a generalized Shanks sequence. Zbl 1221.11211
Patterson, Roger D.; van der Poorten, Alfred J.; Williams, Hugh C.
3
2007
A curious cubic identity and self-similar sums of squares. Zbl 1158.11313
van der Poorten, Alf; Thomsen, Kurt; Wiebe, Mark
2
2007
Recurrence relations for elliptic sequences: every Somos 4 is a Somos \(k\). Zbl 1169.11013
van der Poorten, Alfred J.; Swart, Christine S.
28
2006
Hyperelliptic curves, continued fractions, and Somos sequences. Zbl 1221.11015
van der Poorten, Alfred J.
6
2006
Exactly one hundred nontrivial composites. Zbl 1210.11012
van der Poorten, Alf
1
2006
Determined sequences, continued fractions, and hyperelliptic curves. Zbl 1143.11306
van der Poorten, Alfred J.
1
2006
Elliptic curves and continued fractions. Zbl 1079.11006
van der Poorten, Alfred J.
8
2005
Curves of genus 2, continued fractions, and Somos sequences. Zbl 1177.11012
van der Poorten, Alfred J.
6
2005
Pseudo-elliptic integrals, units, and torsion. Zbl 1100.11021
Pappalardi, Francesco; van der Poorten, Alfred J.
5
2005
Specialisation and reduction of continued fractions of formal power series. Zbl 1163.11332
van der Poorten, Alfred J.
2
2005
Periodic continued fractions and elliptic curves. Zbl 1069.11022
van der Poorten, Alfred J.
4
2004
Quadratic irrational integers with partly prescribed continued fraction expansion. Zbl 1064.11052
van der Poorten, Alfred J.
2
2004
High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24–30, 2003. Zbl 1051.11008
2
2004
On the twin prime conjecture. Zbl 1129.11302
van der Poorten, Alf; Ah-Mah, Teur
1
2004
Squares from products of integers. Zbl 1129.11309
Banks, William D.; van der Poorten, Alfred J.
1
2004
Jeepers, creepers, \(\ldots\). Zbl 1152.11344
Patterson, Roger D.; van der Poorten, Alfred J.
1
2004
Recurrence sequences. Zbl 1033.11006
Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas
190
2003
A note on NUCOMP. Zbl 1113.11074
van der Poorten, Alfred J.
3
2003
Three views of peer review. Zbl 1138.00319
Krantz, Steven G.; Kuperberg, Greg; van der Poorten, Alf
1
2003
Peer refereeing …will it be missed? Zbl 1045.00008
van der Poorten, Alfred J.
1
2003
Periodic continued fractions in elliptic function fields. Zbl 1058.11050
van der Poorten, Alfred J.; Tran, Xuan Chuong
10
2002
Integer sequences and periodic points. Zbl 1026.11022
Everest, Graham; van der Poorten, Alf J.; Puri, Yash; Ward, Thomas B.
6
2002
Symmetry and folding of continued fractions. Zbl 1067.11001
van der Poorten, Alfred J.
5
2002
Computational aspects of NUCOMP. Zbl 1058.11074
Jacobson, Michael J. jun.; van der Poorten, Alfred J.
5
2002
Binary quadratic forms and the eta function. Zbl 1038.11024
Chapman, Robin; van der Poorten, Alfred J.
4
2002
Ideal constructions and irrationality measures of roots of algebraic numbers. Zbl 1040.11052
Cohen, Paula B.; van der Poorten, Alfred J.
1
2002
Squares from products of consecutive integers. Zbl 1053.11022
van der Poorten, Alf; Woeginger, Gerhard
1
2002
Life on the edge. Zbl 1026.40001
van der Poorten, Alf
1
2002
Computer verification of the Ankeny-Artin-Chowla Conjecture for all primes less than \(100 000 000 000\). Zbl 0987.11065
van der Poorten, A. J.; te Riele, H. J. J.; Williams, H. C.
29
2001
Non-periodic continued fractions in hyperelliptic function fields. Zbl 1013.11036
van der Poorten, Alfred J.
6
2001
A powerful determinant. Zbl 1065.11053
van der Poorten, Alfred J.
2
2001
On number theory and Kustaa Inkeri. Zbl 0962.11002
van der Poorten, Alfred J.
1
2001
Quasi-elliptic integrals and periodic continued fractions. Zbl 0972.11062
van der Poorten, Alfred J.; Xuan Chuong Tran
10
2000
Continued fractions, Jacobi symbols, and quadratic Diophantine equations. Zbl 0973.11010
Mollin, R. A.; van der Poorten, A. J.
2
2000
Zero testing of \(p\)-adic and modular polynomials. Zbl 1012.11111
Karpinski, Marek; van der Poorten, Alf; Shparlinski, Igor
2
2000
On periods of elements from real quadratic number fields. Zbl 0971.11040
Burger, Edward B.; van der Poorten, Alfred J.
2
2000
Values of the Dedekind eta function at quadratic irrationalities. Zbl 0936.11026
van der Poorten, Alfred; Williams, Kenneth S.
9
1999
A note on Jacobi symbols and continued fractions. Zbl 0985.11004
van der Poorten, A. J.; Walsh, P. G.
5
1999
On certain continued fraction expansions of fixed period length. Zbl 0926.11005
van der Poorten, A. J.; Williams, H. C.
5
1999
Reduction of continued fractions of formal power series. Zbl 1017.11036
van der Poorten, Alfred J.
3
1999
On lacunary formal power series and their continued fraction expansion. Zbl 0929.11011
Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
3
1999
Beer and continued fractions with periodic periods. Zbl 0951.11025
van der Poorten, A. J.
2
1999
On the distribution of solutions of Thue’s equation. Zbl 0934.11014
Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel
2
1999
Formal power series and their continued fraction expansion. Zbl 0904.11005
van der Poorten, Alf
8
1998
Factorisation in the ring of exponential polynomials. Zbl 1017.11009
Everest, G. R.; van der Poorten, A. J.
5
1997
Substitution invariant Beatty sequences. Zbl 0868.11015
Komatsu, Takao; van der Poorten, Alfred J.
12
1996
Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035
Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D.
11
1996
Notes on Fermat’s last theorem. Zbl 0882.11001
van der Poorten, Alfred J.
8
1996
On linear recurrence sequences with polynomial coefficients. Zbl 0862.11011
van der Poorten, Alfred J.; Shparlinski, I. E.
7
1996
Continued fraction expansions of values of the exponential function and related functions with continued fractions. Zbl 0862.11044
van der Poorten, Alfred J.
6
1996
A comparative study of algorithms for computing continued fractions of algebraic numbers. Zbl 0899.11065
Brent, Richard P.; te Riele, Herman J. J.; van der Poorten, Alfred J.
5
1996
Convergents of folded continued fractions. Zbl 0848.11004
Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
4
1996
A note on Hadamard roots of rational functions. Zbl 0958.11009
van der Poorten, A. J.
1
1996
Continued fractions of algebraic numbers. Zbl 0835.11025
Bombieri, Enrico; van der Poorten, Alfred J.
11
1995
Some problems concerning recurrence sequences. Zbl 0844.11011
Myerson, G.; van der Poorten, Alfred J.
9
1995
On sequences of polynomials defined by certain recurrence relations. Zbl 0917.11008
van der Poorten, A. J.; Shparlinski, I. E.
3
1995
Factorisation in fractional powers. Zbl 0818.11011
van der Poorten, A. J.
3
1995
A note on symmetry and ambiguity. Zbl 0824.11003
Mollin, R. A.; van der Poorten, A. J.
3
1995
Determinants in the study of Thue’s method and curves with prescribed singularities. Zbl 0862.11029
Bombieri, Enrico; Hunt, David C.; van der Poorten, Alfred J.
3
1995
Explicit quadratic reciprocity. Zbl 0917.11014
van der Poorten, A. J.
1
1995
Corrections to “The Eisenstein constant”. Zbl 0813.11064
Dwork, Bernard M.; van der Poorten, Alfred J.
3
1994
Halfway to a solution of \(x^ 2 - Dy^ 2 = -3\). Zbl 0820.11015
Mollin, R. A.; van der Poorten, A. J.; Williams, H. C.
2
1994
Explicit formulas for units in certain quadratic number fields. Zbl 0837.11004
van der Poorten, Alfred J.
2
1994
Remarks on Fermat’s last theorem. Zbl 0830.11015
van der Poorten, Alfred J.
1
1994
Schneider’s continued fraction. Zbl 0790.11050
van der Poorten, A. J.
10
1993
Continued fractions of formal power series. Zbl 0804.11043
van der Poorten, A. J.
7
1993
A specialised continued fraction. Zbl 0797.11007
van der Poorten, A. J.; Shallit, J.
6
1993
Power series representing algebraic functions. Zbl 0815.11014
van der Poorten, A. J.
5
1993
Some infinite products with interesting continued fraction expansions. Zbl 0789.11002
Pinner, C. G.; van der Poorten, A. J.; Saradha, N.
1
1993
Folded continued fractions. Zbl 0753.11005
van der Poorten, A. J.; Shallit, J.
37
1992
The Eisenstein constant. Zbl 0770.11051
Dwork, Bernard M.; van der Poorten, Alfred J.
15
1992
On the number of zeros of exponential polynomials and related questions. Zbl 0753.11009
van der Poorten, A. J.; Shparlinskij, I. E.
7
1992
Additive relations in fields. Zbl 0747.11017
van der Poorten, A. J.; Schlickewei, H. P.
19
1991
Zeros of recurrence sequences. Zbl 0724.11006
van der Poorten, A. J.; Schlickewei, H. P.
16
1991
An infinite product with bounded partial quotients. Zbl 0749.11014
Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.
8
1991
Fractions of the period of the continued fraction expansion of quadratic integers. Zbl 0733.11004
van der Poorten, A. J.
5
1991
Some explicit continued fraction expansions. Zbl 0708.11011
Mendès France, Michel; van der Poorten, Alfred J.
4
1991
Obituary: Kurt Mahler, 1903–1988. Zbl 0738.01015
van der Poorten, A. J.
3
1991
Dyson’s lemma without tears. Zbl 0734.11039
Beukers, Frits; van der Poorten, Alfred J.; Yager, Rodney I.
2
1991
Generalised simultaneous approximation of functions. Zbl 0747.11028
van der Poorten, A. J.
1
1991
A full characterisation of divisibility sequences. Zbl 0716.11008
Bézivin, Jean-Paul; Pethö, Attila; van der Poorten, Alfred J.
14
1990
Notes on continued fractions and recurrence sequences. Zbl 0713.11007
van der Poorten, A. J.
5
1990
Rational functions, diagonals, automata and arithmetic. Zbl 0694.10008
Lipshitz, Leonard; van der Poorten, Alfred J.
3
1990
Some quantitative results related to Roth’s theorem: Corrigenda. Zbl 0697.10028
Bombieri, E.; van der Poorten, A. J.
2
1990
A divergent argument concerning Hadamard roots of rational functions. Zbl 0723.11010
van der Poorten, A. J.
2
1990
Integer-valued p-adic functions. Zbl 0711.11046
Laohakosol, V.; Loxton, J. H.; van der Poorten, A. J.
1
1990
A diophantine problem in harmonic analysis. Zbl 0722.11021
van der Poorten, A. J.; Schlickewei, H. P.
1
1990
Some facts that should be better known, especially about rational functions. Zbl 0687.10007
van der Poorten, A. J.
19
1989
From geometry to Euler identities. Zbl 0682.10026
Mendes France, M.; van der Poorten, A. J.
7
1989
On the thermodynamics of curves and other curlicues. Zbl 0696.10035
Moore, R. R.; van der Poorten, A. J.
6
1989
Solution of Pisot’s conjecture on the Hadamard quotient of two rational functions. (Solution de la conjecture de Pisot sur le quotient de Hadamard de deux fractions rationnelles.) Zbl 0635.10007
van der Poorten, Alfred J.
25
1988
Arithmetic properties of automata: regular sequences. Zbl 0656.10033
Loxton, J. H.; van der Poorten, A. J.
16
1988
Some quantitative results related to Roth’s theorem. Zbl 0664.10017
Bombieri, E.; van der Poorten, A. J.
12
1988
Indépendance algébrique de certaines séries formelles. (Algebraic independence of certain formal power series). Zbl 0696.10031
Allouche, J.-P.; Mendès-France, M.; van der Poorten, A. J.
3
1988
Kurt Mahler 1903-1988. Zbl 0643.01030
Neumann, B. H.; van der Poorten, Alf
2
1988
Remarks on Roth’s theorem. Zbl 0664.10018
van der Poorten, A. J.
1
1988
...and 75 more Documents
all top 5

Cited by 1,070 Authors

27 Luca, Florian
24 van der Poorten, Alfred J.
23 Allouche, Jean-Paul Simon
21 Shallit, Jeffrey Outlaw
21 Shparlinski, Igor E.
19 Bell, Jason P.
18 Hone, Andrew N. W.
15 Zeilberger, Doron
14 Bugeaud, Yann
14 Mendès France, Michel
11 Adamczewski, Boris
11 Zudilin, Wadim
10 Chu, Wenchang
10 Sha, Min
9 Dubickas, Artūras
9 Straub, Armin
9 Ward, Thomas
9 Zannier, Umberto M.
8 Bézivin, Jean-Paul
8 Kauers, Manuel
8 Tanaka, Taka-aki
7 Fëdorov, Gleb Vladimirovich
7 Gómez, Carlos Alexis
7 Murru, Nadir
7 Tijdeman, Robert
7 Worrell, James Benjamin
6 Coons, Michael
6 Cusick, Thomas W.
6 Everest, Graham Robert
6 Győry, Kálmán
6 Masser, David William
6 Ouaknine, Joel O.
6 Rivoal, Tanguy
6 Sanna, Carlo
6 Stewart, Cameron L.
6 Williams, Hugh Cowie
5 Borwein, Jonathan Michael
5 Brudnyi, Alexander
5 Bundschuh, Peter
5 Corvaja, Pietro
5 de Weger, Benjamin M. M.
5 Heittokangas, Janne M.
5 Koiran, Pascal
5 Koutschan, Christoph
5 Kovács, Laura Ildikó
5 Laurent, Michel
5 Moree, Pieter
5 Nishioka, Kumiko
5 Rampersad, Narad
5 Schmidt, Wolfgang M.
5 Shiokawa, Iekata
5 Sun, Zhi-Wei
5 Tachiya, Yohei
5 Väänänen, Keijo O.
5 Waldschmidt, Michel
5 Wen, Zhitao
5 Wen, Zhixiong
5 Ziegler, Volker
4 Amou, Masaaki
4 Badziahin, Dzmitry A.
4 Bennett, Michael A.
4 Beukers, Frits
4 Chen, Shaoshi
4 Dekking, Frederik Michel
4 Dougherty-Bliss, Robert
4 Hajdu, Lajos
4 Illarionov, Andrei A.
4 Jones, Lenny K.
4 Kenison, George
4 Kurosawa, Takeshi
4 Loxton, John H.
4 Marques, Diego
4 Matala-aho, Tapani
4 Mérai, László
4 Ostafe, Alina
4 Scheidler, Renate
4 Schlickewei, Hans Peter
4 Tsigaridas, Elias P.
4 Tzanakis, Nikos
4 Ustinov, Alekseĭ Vladimirovich
4 van der Kamp, Peter H.
4 Winterhof, Arne
4 Yu, Kunrui
3 Akshay, S.
3 Barbero, Stefano
3 Bilu, Yuri F.
3 Bravo, Jhon Jairo
3 Byszewski, Jakub
3 Chamberland, Marc
3 Dilcher, Karl
3 Dumas, Philippe
3 Duverney, Daniel
3 Evertse, Jan-Hendrik
3 Faverjon, Colin
3 Gezer, Betúl
3 Goč, Daniel
3 Guo, Ji
3 Hessami Pilehrood, Khodabakhsh
3 Hessami Pilehrood, Tatiana
3 Ide, Haruki
...and 970 more Authors
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Cited in 241 Serials

109 Journal of Number Theory
30 Theoretical Computer Science
24 Journal de Théorie des Nombres de Bordeaux
23 Mathematics of Computation
20 The Ramanujan Journal
18 Monatshefte für Mathematik
16 Bulletin of the Australian Mathematical Society
16 Proceedings of the American Mathematical Society
16 International Journal of Number Theory
14 Rocky Mountain Journal of Mathematics
14 Acta Arithmetica
14 Compositio Mathematica
14 Transactions of the American Mathematical Society
13 Israel Journal of Mathematics
13 Advances in Applied Mathematics
12 Indagationes Mathematicae. New Series
12 Integers
10 Journal of Mathematical Analysis and Applications
10 Inventiones Mathematicae
10 Journal of the Australian Mathematical Society
9 Mathematical Notes
9 Bulletin de la Société Mathématique de France
9 Mathematische Annalen
9 Journal of Symbolic Computation
9 Journal of Integer Sequences
8 Annales de l’Institut Fourier
8 Journal of Algebra
8 European Journal of Combinatorics
8 Linear Algebra and its Applications
8 Journal of Difference Equations and Applications
7 American Mathematical Monthly
7 Discrete Mathematics
7 The Mathematical Intelligencer
7 Advances in Mathematics
7 Duke Mathematical Journal
7 Journal of Computational and Applied Mathematics
7 Mathematische Zeitschrift
7 Results in Mathematics
7 Finite Fields and their Applications
6 Bulletin of the London Mathematical Society
6 Functiones et Approximatio. Commentarii Mathematici
6 Manuscripta Mathematica
6 Acta Mathematica Hungarica
6 Research in Number Theory
5 Acta Mathematica Academiae Scientiarum Hungaricae
5 Discrete Applied Mathematics
5 Acta Mathematica
5 Journal of Approximation Theory
5 Proceedings of the London Mathematical Society. Third Series
5 Aequationes Mathematicae
5 Experimental Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Information Processing Letters
4 Journal of Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Archiv der Mathematik
4 Canadian Journal of Mathematics
4 Journal of Combinatorial Theory. Series A
4 Journal of Differential Equations
4 Journal of Pure and Applied Algebra
4 Tokyo Journal of Mathematics
4 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4 Logical Methods in Computer Science
3 Houston Journal of Mathematics
3 Lithuanian Mathematical Journal
3 Canadian Mathematical Bulletin
3 Glasgow Mathematical Journal
3 Journal für die Reine und Angewandte Mathematik
3 Mathematica Slovaca
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Quaestiones Mathematicae
3 Ergodic Theory and Dynamical Systems
3 Bulletin of the Korean Mathematical Society
3 Constructive Approximation
3 Bulletin of the American Mathematical Society. New Series
3 Expositiones Mathematicae
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Mathematical Sciences (New York)
3 Selecta Mathematica. New Series
3 Documenta Mathematica
3 Qualitative Theory of Dynamical Systems
3 Journal of Physics A: Mathematical and Theoretical
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 RAIRO. Theoretical Informatics and Applications
2 Journal d’Analyse Mathématique
2 Journal of Statistical Physics
2 The Mathematical Gazette
2 Nonlinearity
2 Periodica Mathematica Hungarica
2 Physics Letters. A
2 Problems of Information Transmission
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Czechoslovak Mathematical Journal
2 Geometriae Dedicata
2 Information Sciences
2 Journal of the London Mathematical Society. Second Series
2 Journal of Soviet Mathematics
...and 141 more Serials
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Cited in 53 Fields

776 Number theory (11-XX)
140 Computer science (68-XX)
83 Special functions (33-XX)
74 Combinatorics (05-XX)
64 Dynamical systems and ergodic theory (37-XX)
61 Algebraic geometry (14-XX)
50 Functions of a complex variable (30-XX)
46 Field theory and polynomials (12-XX)
38 Difference and functional equations (39-XX)
33 Commutative algebra (13-XX)
30 Mathematical logic and foundations (03-XX)
28 Approximations and expansions (41-XX)
22 Information and communication theory, circuits (94-XX)
21 Ordinary differential equations (34-XX)
18 Group theory and generalizations (20-XX)
18 Numerical analysis (65-XX)
14 Several complex variables and analytic spaces (32-XX)
13 Associative rings and algebras (16-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Real functions (26-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Measure and integration (28-XX)
10 Sequences, series, summability (40-XX)
9 Topological groups, Lie groups (22-XX)
8 History and biography (01-XX)
8 Probability theory and stochastic processes (60-XX)
7 Quantum theory (81-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Category theory; homological algebra (18-XX)
5 Convex and discrete geometry (52-XX)
4 General and overarching topics; collections (00-XX)
4 Partial differential equations (35-XX)
4 Abstract harmonic analysis (43-XX)
4 General topology (54-XX)
4 Algebraic topology (55-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Nonassociative rings and algebras (17-XX)
3 Functional analysis (46-XX)
3 Operator theory (47-XX)
3 Manifolds and cell complexes (57-XX)
3 Systems theory; control (93-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematics education (97-XX)
1 General algebraic systems (08-XX)
1 Differential geometry (53-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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