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van der Poorten, Alfred J.

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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, A. J.; van der Poorten, Alf; van der Poorten, Alf J.; van der Poorten, Alfred; van der Poorten, Alfred J.
Homepage: http://www.maths.mq.edu.au/~alf/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 181 Publications since 1967, including 9 Books
Biographic References: 2 Publications
all top 5

Co-Authors

73 single-authored
21 Loxton, John H.
12 Mendès France, Michel
6 Shparlinski, Igor E.
5 Bombieri, Enrico
5 Shallit, Jeffrey O.
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 B.
2 Williams, Kenneth S.
1 Agrawal, Manoj Kumar
1 Ah-Mah, Teur
1 Banks, William D.
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 H.
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, Gary
1 Wiebe, Mark
1 Woeginger, Gerhard Johannes
1 Xuan Chuong Tran
1 Yager, Rodney Ian
1 Zimmer, Horst Günter
1 Zudilin, Wadim
all top 5

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
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

133 Publications have been cited 929 times in 724 Documents Cited by Year
A proof that Euler missed. Apéry’s proof of the irrationality of \(\zeta(3)\). An informal report. Zbl 0409.10028
van der Poorten, Alfred
109
1979
Recurrence sequences. Zbl 1033.11006
Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas
86
2003
Folds! Zbl 0493.10001
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
33
1982
Arithmetic properties of certain functions in several variables. III. Zbl 0339.10028
Loxton, J. H.; van der Poorten, A. J.
27
1977
Folded continued fractions. Zbl 0753.11005
van der Poorten, A. J.; Shallit, J.
26
1992
Solution of Pisot’s conjecture on the Hadamard quotient of two rational functions. Zbl 0635.10007
van der Poorten, Alfred J.
21
1988
Folds! III: More morphisms. Zbl 0493.10003
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
21
1982
Recurrence relations for elliptic sequences: every Somos 4 is a Somos \(k\). Zbl 1169.11013
van der Poorten, Alfred J.; Swart, Christine S.
18
2006
A class of hypertranscendental functions. Zbl 0384.10014
Loxton, J. H.; van der Poorten, A. J.
18
1977
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
17
1977
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
15
2014
An introduction to continued fractions. Zbl 0596.10008
van der Poorten, A. J.
14
1986
Arithmetic and analytic properties of paper folding sequences. Zbl 0451.10018
Mendès France, Michel; van der Poorten, A. J.
14
1981
Transcendence and algebraic independence by a method of Mahler. Zbl 0378.10020
Loxton, J. H.; van der Poorten, A. J.
14
1977
Zeros of recurrence sequences. Zbl 0724.11006
van der Poorten, A. J.; Schlickewei, H. P.
13
1991
The Eisenstein constant. Zbl 0770.11051
Dwork, Bernard M.; van der Poorten, Alfred J.
12
1992
Additive relations in fields. Zbl 0747.11017
van der Poorten, A. J.; Schlickewei, H. P.
12
1991
Arithmetic properties of automata: regular sequences. Zbl 0656.10033
Loxton, J. H.; van der Poorten, A. J.
12
1988
Linear forms in logarithms in the \(p\)-adic case. Zbl 0367.10034
van der Poorten, A. J.
12
1977
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.
11
2001
Multiplicative relations in number fields. Zbl 0335.10023
van der Poorten, A. J.; Loxton, J. H.
11
1977
Wronskian determinants and the zeros of certain functions. Zbl 0316.30006
Voorhoeve, M.; van der Poorten, A. J.
11
1975
Substitution invariant Beatty sequences. Zbl 0868.11015
Komatsu, Takao; van der Poorten, Alfred J.
10
1996
A full characterisation of divisibility sequences. Zbl 0716.11008
Bézivin, Jean-Paul; Pethö, Attila; van der Poorten, Alfred J.
10
1990
Some quantitative results related to Roth’s theorem. Zbl 0664.10017
Bombieri, E.; van der Poorten, A. J.
10
1988
Arithmetic properties of the solutions of a class of functional equations. Zbl 0468.10019
Loxton, J. H.; van der Poorten, A. J.
10
1982
Elliptic curves of conductor 11. Zbl 0475.14031
Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J.
10
1980
Algebraic independence properties of the Fredholm series. Zbl 0392.10034
Loxton, J. H.; van der Poorten, A. J.
10
1978
Arithmetic properties of certain functions in several variables. II. Zbl 0339.10027
Loxton, J. H.; van der Poorten, A. J.
10
1977
On the number of zeros of certain functions. Zbl 0316.30005
Voorhoeve, M.; van der Poorten, A. J.; Tijdeman, R.
10
1975
Some facts that should be better known, especially about rational functions. Zbl 0687.10007
van der Poorten, A. J.
9
1989
Folds! II: Symmetry disturbed. Zbl 0493.10002
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
9
1982
On the number of zeros of functions. Zbl 0364.30005
van der Poorten, A. J.
9
1977
Transcendental entire functions mapping every algebraic number field into itself. Zbl 0162.34803
van der Poorten, A. J.
9
1968
Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035
Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D.
8
1996
Some problems concerning recurrence sequences. Zbl 0844.11011
Myerson, G.; van der Poorten, Alfred J.
8
1995
Continued fractions of algebraic numbers. Zbl 0835.11025
Bombieri, Enrico; van der Poorten, Alfred J.
8
1995
On the growth of recurrence sequences. Zbl 0348.10007
Loxton, J. H.; van der Poorten, A. J.
8
1977
Arithmetic properties of certain functions in several variables. Zbl 0339.10026
Loxton, J. H.; van der Poorten, A. J.
8
1977
An infinite product with bounded partial quotients. Zbl 0749.11014
Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.
7
1991
Multiplicative dependence in number fields. Zbl 0478.10019
Loxton, J. H.; van der Poorten, A. J.
7
1983
Quasi-elliptic integrals and periodic continued fractions. Zbl 0972.11062
van der Poorten, Alfred J.; Xuan Chuong Tran
6
2000
Formal power series and their continued fraction expansion. Zbl 0904.11005
van der Poorten, Alf
6
1998
Notes on Fermat’s last theorem. Zbl 0882.11001
van der Poorten, Alfred J.
6
1996
Continued fractions of formal power series. Zbl 0804.11043
van der Poorten, A. J.
6
1993
From geometry to Euler identities. Zbl 0682.10026
Mendes France, M.; van der Poorten, A. J.
6
1989
p-adic methods in the study of Taylor coefficients of rational functions. Zbl 0519.10009
van der Poorten, A. J.
6
1984
Some determinants that should be better known. Zbl 0343.15002
van der Poorten, A. J.
6
1976
Closed subgroups of products of reals. Zbl 0305.22003
Hunt, David C.; Morris, Sidney A.; van der Poorten, Alfred J.
6
1975
Elliptic curves and continued fractions. Zbl 1079.11006
van der Poorten, Alfred J.
5
2005
Values of the Dedekind eta function at quadratic irrationalities. Zbl 0936.11026
van der Poorten, Alfred; Williams, Kenneth S.
5
1999
Continued fraction expansions of values of the exponential function and related functions with continued fractions. Zbl 0862.11044
van der Poorten, Alfred J.
5
1996
Zeros of \(p\)-adic exponential polynomials. II. Zbl 0633.12006
van der Poorten, A. J.; Rumely, Robert S.
5
1987
Automata and the arithmetic of formal power series. Zbl 0599.12020
Mendès France, Michel; van der Poorten, A. J.
5
1986
Multi-dimensional generalizations of the Padé table. Zbl 0423.30033
Loxton, J. H.; Van der Poorten, A. J.
5
1979
On common zeros of exponential polynomials. Zbl 0308.30006
van der Poorten, A. J.; Tijdeman, R.
5
1975
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.
4
1996
On linear recurrence sequences with polynomial coefficients. Zbl 0862.11011
van der Poorten, Alfred J.; Shparlinski, I. E.
4
1996
On the thermodynamics of curves and other curlicues. Zbl 0696.10035
Moore, R. R.; van der Poorten, A. J.
4
1989
On algebraic functions satisfying a class of functional equations. Zbl 0339.12002
Loxton, J. H.; van der Poorten, A. J.
4
1976
A note on the zeros of exponential polynomials. Zbl 0318.30005
van der Poorten, A. J.
4
1975
A generalization of Turan’s main theorems to binomials and logarithms. Zbl 0192.39501
van der Poorten, A. J.
4
1970
Pseudo-elliptic integrals, units, and torsion. Zbl 1100.11021
Pappalardi, Francesco; van der Poorten, Alfred J.
3
2005
Symmetry and folding of continued fractions. Zbl 1067.11001
van der Poorten, Alfred J.
3
2002
Binary quadratic forms and the eta function. Zbl 1038.11024
Chapman, Robin; van der Poorten, Alfred J.
3
2002
Convergents of folded continued fractions. Zbl 0848.11004
Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
3
1996
Power series representing algebraic functions. Zbl 0815.11014
van der Poorten, A. J.
3
1993
A specialised continued fraction. Zbl 0797.11007
van der Poorten, A. J.; Shallit, J.
3
1993
Schneider’s continued fraction. Zbl 0790.11050
van der Poorten, A. J.
3
1993
Some explicit continued fraction expansions. Zbl 0708.11011
Mendès France, Michel; van der Poorten, Alfred J.
3
1991
A note on the Hadamard \(k\)th root of a rational function. Zbl 0635.10008
Rumely, Robert S.; van der Poorten, A. J.
3
1987
Bounds for solutions of systems of linear equations. Zbl 0466.10022
Vaaler, Jeffrey D.; van der Poorten, A. J.
3
1982
Computing the effectively computable bound in Baker’s inequality for linear forms in logarithms, and: Multiplicative relations in number fields: Corrigenda and addenda. Zbl 0362.10019
van der Poorten, A. J.; Loxton, J. H.
3
1977
Generalisations of Turán’s main theorems on lower bounds for sums of powers. Zbl 0179.07101
van der Poorten, A. J.
3
1970
Hyperelliptic curves, continued fractions, and Somos sequences. Zbl 1221.11015
van der Poorten, Alfred J.
2
2006
Curves of genus 2, continued fractions, and Somos sequences. Zbl 1177.11012
van der Poorten, Alfred J.
2
2005
Periodic continued fractions and elliptic curves. Zbl 1069.11022
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
van der Poorten, Alf (ed.); Stein, Andreas (ed.)
2
2004
Periodic continued fractions in elliptic function fields. Zbl 1058.11050
van der Poorten, Alfred J.; Tran, Xuan Chuong
2
2002
Integer sequences and periodic points. Zbl 1026.11022
Everest, Graham; van der Poorten, Alf J.; Puri, Yash; Ward, Thomas B.
2
2002
Non-periodic continued fractions in hyperelliptic function fields. Zbl 1013.11036
van der Poorten, Alfred J.
2
2001
A note on Jacobi symbols and continued fractions. Zbl 0985.11004
van der Poorten, A. J.; Walsh, P. G.
2
1999
Reduction of continued fractions of formal power series. Zbl 1017.11036
van der Poorten, Alfred J.
2
1999
On certain continued fraction expansions of fixed period length. Zbl 0926.11005
van der Poorten, A. J.; Williams, H. C.
2
1999
A note on symmetry and ambiguity. Zbl 0824.11003
Mollin, R. A.; van der Poorten, A. J.
2
1995
Factorisation in fractional powers. Zbl 0818.11011
van der Poorten, A. J.
2
1995
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
Corrections to “The Eisenstein constant”. Zbl 0813.11064
Dwork, Bernard M.; van der Poorten, Alfred J.
2
1994
On the number of zeros of exponential polynomials and related questions. Zbl 0753.11009
van der Poorten, A. J.; Shparlinskij, I. E.
2
1992
Fractions of the period of the continued fraction expansion of quadratic integers. Zbl 0733.11004
van der Poorten, A. J.
2
1991
Notes on continued fractions and recurrence sequences. Zbl 0713.11007
van der Poorten, A. J.
2
1990
Rational functions, diagonals, automata and arithmetic. Zbl 0694.10008
Lipshitz, Leonard; van der Poorten, Alfred J.
2
1990
An awful problem about integers in base four. Zbl 0636.10003
Loxton, J. H.; van der Poorten, A. J.
2
1987
Diophantine analysis. Proceedings of the Number Theory Section of the 1985 Australian Mathematical Society Convention (University of New South Wales). Zbl 0583.00005
Loxton, J. H. (ed.); van der Poorten, A. J. (ed.)
2
1986
Additive relations in number fields. Zbl 0562.10015
van der Poorten, A. J.
2
1984
Substitution automata, functional equations and ”functions algebraic over a finite field”. Zbl 0493.10039
van der Poorten, A. J.
2
1982
Some wonderful formulas…an introduction to polylogarithms. Zbl 0448.10025
van der Poorten, Alfred J.
2
1980
Some remarks on Fermat’s conjecture. Zbl 0348.10012
Inkeri, K.; van der Poorten, A. J.
2
1980
Hermite interpolation and p-adic exponential polynomials. Zbl 0348.12022
van der Poorten, A. J.
2
1976
On Baker’s inequality for linear forms in logarithms. Zbl 0341.10030
van der Poorten, Alfred J.
2
1976
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
15
2014
Sequences of Jacobian varieties with torsion divisors of quadratic order. Zbl 1188.11034
Patterson, Roger D.; van der Poorten, Alfred J.; Williams, Hugh C.
1
2008
A curious cubic identity and self-similar sums of squares. Zbl 1158.11313
van der Poorten, Alf; Thomsen, Kurt; Wiebe, Mark
1
2007
Characterization of a generalized Shanks sequence. Zbl 1221.11211
Patterson, Roger D.; van der Poorten, Alfred J.; Williams, Hugh C.
1
2007
Recurrence relations for elliptic sequences: every Somos 4 is a Somos \(k\). Zbl 1169.11013
van der Poorten, Alfred J.; Swart, Christine S.
18
2006
Hyperelliptic curves, continued fractions, and Somos sequences. Zbl 1221.11015
van der Poorten, Alfred J.
2
2006
Elliptic curves and continued fractions. Zbl 1079.11006
van der Poorten, Alfred J.
5
2005
Pseudo-elliptic integrals, units, and torsion. Zbl 1100.11021
Pappalardi, Francesco; van der Poorten, Alfred J.
3
2005
Curves of genus 2, continued fractions, and Somos sequences. Zbl 1177.11012
van der Poorten, Alfred J.
2
2005
Specialisation and reduction of continued fractions of formal power series. Zbl 1163.11332
van der Poorten, Alfred J.
1
2005
Periodic continued fractions and elliptic curves. Zbl 1069.11022
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
van der Poorten, Alf (ed.); Stein, Andreas (ed.)
2
2004
Quadratic irrational integers with partly prescribed continued fraction expansion. Zbl 1064.11052
van der Poorten, Alfred J.
1
2004
Recurrence sequences. Zbl 1033.11006
Everest, Graham; van der Poorten, Alf; Shparlinski, Igor; Ward, Thomas
86
2003
Symmetry and folding of continued fractions. Zbl 1067.11001
van der Poorten, Alfred J.
3
2002
Binary quadratic forms and the eta function. Zbl 1038.11024
Chapman, Robin; van der Poorten, Alfred J.
3
2002
Periodic continued fractions in elliptic function fields. Zbl 1058.11050
van der Poorten, Alfred J.; Tran, Xuan Chuong
2
2002
Integer sequences and periodic points. Zbl 1026.11022
Everest, Graham; van der Poorten, Alf J.; Puri, Yash; Ward, Thomas B.
2
2002
Computational aspects of NUCOMP. Zbl 1058.11074
Jacobson, Michael J. jun.; van der Poorten, Alfred J.
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.
11
2001
Non-periodic continued fractions in hyperelliptic function fields. Zbl 1013.11036
van der Poorten, Alfred J.
2
2001
A powerful determinant. Zbl 1065.11053
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
6
2000
On periods of elements from real quadratic number fields. Zbl 0971.11040
Burger, Edward B.; van der Poorten, Alfred J.
1
2000
Continued fractions, Jacobi symbols, and quadratic Diophantine equations. Zbl 0973.11010
Mollin, R. A.; van der Poorten, A. J.
1
2000
Values of the Dedekind eta function at quadratic irrationalities. Zbl 0936.11026
van der Poorten, Alfred; Williams, Kenneth S.
5
1999
A note on Jacobi symbols and continued fractions. Zbl 0985.11004
van der Poorten, A. J.; Walsh, P. G.
2
1999
Reduction of continued fractions of formal power series. Zbl 1017.11036
van der Poorten, Alfred J.
2
1999
On certain continued fraction expansions of fixed period length. Zbl 0926.11005
van der Poorten, A. J.; Williams, H. C.
2
1999
On lacunary formal power series and their continued fraction expansion. Zbl 0929.11011
Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
1
1999
On the distribution of solutions of Thue’s equation. Zbl 0934.11014
Brindza, Béla; Pintér, Ákos; van der Poorten, Alfred J.; Waldschmidt, Michel
1
1999
Beer and continued fractions with periodic periods. Zbl 0951.11025
van der Poorten, A. J.
1
1999
Formal power series and their continued fraction expansion. Zbl 0904.11005
van der Poorten, Alf
6
1998
Factorisation in the ring of exponential polynomials. Zbl 1017.11009
Everest, G. R.; van der Poorten, A. J.
1
1997
Substitution invariant Beatty sequences. Zbl 0868.11015
Komatsu, Takao; van der Poorten, Alfred J.
10
1996
Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035
Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D.
8
1996
Notes on Fermat’s last theorem. Zbl 0882.11001
van der Poorten, Alfred J.
6
1996
Continued fraction expansions of values of the exponential function and related functions with continued fractions. Zbl 0862.11044
van der Poorten, Alfred J.
5
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.
4
1996
On linear recurrence sequences with polynomial coefficients. Zbl 0862.11011
van der Poorten, Alfred J.; Shparlinski, I. E.
4
1996
Convergents of folded continued fractions. Zbl 0848.11004
Allouche, Jean-Paul; Lubiw, Anna; Mendès France, Michel; van der Poorten, Alfred J.; Shallit, Jeffrey
3
1996
Some problems concerning recurrence sequences. Zbl 0844.11011
Myerson, G.; van der Poorten, Alfred J.
8
1995
Continued fractions of algebraic numbers. Zbl 0835.11025
Bombieri, Enrico; van der Poorten, Alfred J.
8
1995
A note on symmetry and ambiguity. Zbl 0824.11003
Mollin, R. A.; van der Poorten, A. J.
2
1995
Factorisation in fractional powers. Zbl 0818.11011
van der Poorten, A. J.
2
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.
1
1995
On sequences of polynomials defined by certain recurrence relations. Zbl 0917.11008
van der Poorten, A. J.; Shparlinski, I. E.
1
1995
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
Corrections to “The Eisenstein constant”. Zbl 0813.11064
Dwork, Bernard M.; van der Poorten, Alfred J.
2
1994
Explicit formulas for units in certain quadratic number fields. Zbl 0837.11004
van der Poorten, Alfred J.
1
1994
Continued fractions of formal power series. Zbl 0804.11043
van der Poorten, A. J.
6
1993
Power series representing algebraic functions. Zbl 0815.11014
van der Poorten, A. J.
3
1993
A specialised continued fraction. Zbl 0797.11007
van der Poorten, A. J.; Shallit, J.
3
1993
Schneider’s continued fraction. Zbl 0790.11050
van der Poorten, A. J.
3
1993
Folded continued fractions. Zbl 0753.11005
van der Poorten, A. J.; Shallit, J.
26
1992
The Eisenstein constant. Zbl 0770.11051
Dwork, Bernard M.; van der Poorten, Alfred J.
12
1992
On the number of zeros of exponential polynomials and related questions. Zbl 0753.11009
van der Poorten, A. J.; Shparlinskij, I. E.
2
1992
Zeros of recurrence sequences. Zbl 0724.11006
van der Poorten, A. J.; Schlickewei, H. P.
13
1991
Additive relations in fields. Zbl 0747.11017
van der Poorten, A. J.; Schlickewei, H. P.
12
1991
An infinite product with bounded partial quotients. Zbl 0749.11014
Allouche, J.-P.; Mendès France, M.; van der Poorten, A. J.
7
1991
Some explicit continued fraction expansions. Zbl 0708.11011
Mendès France, Michel; van der Poorten, Alfred J.
3
1991
Fractions of the period of the continued fraction expansion of quadratic integers. Zbl 0733.11004
van der Poorten, A. J.
2
1991
Obituary: Kurt Mahler, 1903–1988. Zbl 0738.01015
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.
10
1990
Notes on continued fractions and recurrence sequences. Zbl 0713.11007
van der Poorten, A. J.
2
1990
Rational functions, diagonals, automata and arithmetic. Zbl 0694.10008
Lipshitz, Leonard; van der Poorten, Alfred J.
2
1990
A divergent argument concerning Hadamard roots of rational functions. Zbl 0723.11010
van der Poorten, A. J.
1
1990
Some quantitative results related to Roth’s theorem: Corrigenda. Zbl 0697.10028
Bombieri, E.; van der Poorten, A. J.
1
1990
Some facts that should be better known, especially about rational functions. Zbl 0687.10007
van der Poorten, A. J.
9
1989
From geometry to Euler identities. Zbl 0682.10026
Mendes France, M.; van der Poorten, A. J.
6
1989
On the thermodynamics of curves and other curlicues. Zbl 0696.10035
Moore, R. R.; van der Poorten, A. J.
4
1989
Solution of Pisot’s conjecture on the Hadamard quotient of two rational functions. Zbl 0635.10007
van der Poorten, Alfred J.
21
1988
Arithmetic properties of automata: regular sequences. Zbl 0656.10033
Loxton, J. H.; van der Poorten, A. J.
12
1988
Some quantitative results related to Roth’s theorem. Zbl 0664.10017
Bombieri, E.; van der Poorten, A. J.
10
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.
1
1988
Zeros of \(p\)-adic exponential polynomials. II. Zbl 0633.12006
van der Poorten, A. J.; Rumely, Robert S.
5
1987
A note on the Hadamard \(k\)th root of a rational function. Zbl 0635.10008
Rumely, Robert S.; van der Poorten, A. J.
3
1987
An awful problem about integers in base four. Zbl 0636.10003
Loxton, J. H.; van der Poorten, A. J.
2
1987
A lower bound for linear forms in the logarithms of algebraic numbers. Zbl 0623.10023
Loxton, J. H.; Mignotte, M.; van der Poorten, A. J.; Waldschmidt, M.
1
1987
Remarks on generalised power sums. Zbl 0615.10018
Rumely, Robert S.; van der Poorten, A. J.
1
1987
An introduction to continued fractions. Zbl 0596.10008
van der Poorten, A. J.
14
1986
Automata and the arithmetic of formal power series. Zbl 0599.12020
Mendès France, Michel; van der Poorten, A. J.
5
1986
Diophantine analysis. Proceedings of the Number Theory Section of the 1985 Australian Mathematical Society Convention (University of New South Wales). Zbl 0583.00005
Loxton, J. H. (ed.); van der Poorten, A. J. (ed.)
2
1986
Integers with digits 0 or 1. Zbl 0589.10004
Lehmer, D. H.; Mahler, K.; van der Poorten, A. J.
1
1986
p-adic methods in the study of Taylor coefficients of rational functions. Zbl 0519.10009
van der Poorten, A. J.
6
1984
Additive relations in number fields. Zbl 0562.10015
van der Poorten, A. J.
2
1984
Some problems of recurrent interest. Zbl 0543.10007
van der Poorten, A. J.
1
1984
Hadamard operations on rational functions. Zbl 0543.10006
van der Poorten, Alfred J.
1
1984
Multiplicative dependence in number fields. Zbl 0478.10019
Loxton, J. H.; van der Poorten, A. J.
7
1983
Folds! Zbl 0493.10001
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
33
1982
Folds! III: More morphisms. Zbl 0493.10003
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
21
1982
Arithmetic properties of the solutions of a class of functional equations. Zbl 0468.10019
Loxton, J. H.; van der Poorten, A. J.
10
1982
Folds! II: Symmetry disturbed. Zbl 0493.10002
Dekking, Michel; Mendès France, Michel; van der Poorten, Alf
9
1982
Bounds for solutions of systems of linear equations. Zbl 0466.10022
Vaaler, Jeffrey D.; van der Poorten, A. J.
3
1982
Substitution automata, functional equations and ”functions algebraic over a finite field”. Zbl 0493.10039
van der Poorten, A. J.
2
1982
Arithmetic and analytic properties of paper folding sequences. Zbl 0451.10018
Mendès France, Michel; van der Poorten, A. J.
14
1981
Elliptic curves of conductor 11. Zbl 0475.14031
Agrawal, M. K.; Coates, J. H.; Hunt, D. C.; van der Poorten, A. J.
10
1980
Some wonderful formulas…an introduction to polylogarithms. Zbl 0448.10025
van der Poorten, Alfred J.
2
1980
Some remarks on Fermat’s conjecture. Zbl 0348.10012
Inkeri, K.; van der Poorten, A. J.
2
1980
On strong pseudoprimes in arithmetic progressions. Zbl 0428.10001
van der Poorten, A. J.; Rotkiewicz, A.
1
1980
...and 33 more Documents
all top 5

Cited by 760 Authors

23 Allouche, Jean-Paul Simon
23 van der Poorten, Alfred J.
15 Shparlinski, Igor E.
14 Luca, Florian
14 Mendès France, Michel
13 Bell, Jason P.
13 Shallit, Jeffrey O.
11 Bugeaud, Yann
11 Zeilberger, Doron
10 Hone, Andrew N. W.
9 Sha, Min
8 Adamczewski, Boris
8 Bézivin, Jean-Paul
8 Zudilin, Wadim
7 Dubickas, Artūras
7 Tanaka, Taka-aki
6 Everest, Graham Robert
6 Sanna, Carlo
6 Tijdeman, Robert
5 Brudnyi, Alexander
5 Bundschuh, Peter
5 Chu, Wenchang
5 de Weger, Benjamin M. M.
5 Győry, Kálmán
5 Kauers, Manuel
5 Laurent, Michel
5 Nishioka, Kumiko
5 Schmidt, Wolfgang M.
5 Stewart, Cameron L.
5 Tachiya, Yohei
5 Väänänen, Keijo O.
5 Waldschmidt, Michel
5 Ward, Thomas B.
5 Wen, Zhixiong
5 Zannier, Umberto M.
4 Amou, Masaaki
4 Bennett, Michael A.
4 Beukers, Frits
4 Borwein, Jonathan Michael
4 Dekking, Frederik Michel
4 Jones, Lenny K.
4 Koiran, Pascal
4 Loxton, John H.
4 Marques, Diego
4 Moree, Pieter
4 Rivoal, Tanguy
4 Schlickewei, Hans Peter
4 Straub, Armin
4 Sun, Zhi-Wei
4 Tzanakis, Nikos
4 van der Kamp, Peter H.
4 Williams, Hugh Cowie
4 Yu, Kunrui
3 Badziahin, Dzmitry A.
3 Coons, Michael
3 Corvaja, Pietro
3 Cusick, Thomas W.
3 Evertse, Jan-Hendrik
3 Heittokangas, Janne
3 Hessami Pilehrood, Khodabakhsh
3 Hessami Pilehrood, Tatiana
3 Komatsu, Takao
3 Kurosawa, Takeshi
3 Kwon, DoYong
3 Lagarias, Jeffrey C.
3 Laohakosol, Vichian
3 Masser, David William
3 Matala-aho, Tapani
3 Mauduit, Christian
3 Menegatto, Valdir Antonio
3 Mignotte, Maurice
3 Miles, Richard B.
3 Mollin, Richard Anthony
3 Murru, Nadir
3 Nuttall, John
3 Osburn, Robert
3 Ostafe, Alina
3 Rampersad, Narad
3 Scheidler, Renate
3 Schneider, Carsten
3 Shiokawa, Iekata
3 Shorey, Tarlok Nath
3 Skordev, Gencho S.
3 Tsigaridas, Elias P.
3 Wang, Julie Tzu-Yueh
3 Wen, Zhitao
3 Ziegler, Volker
2 Bacher, Roland
2 Bailey, David Harold
2 Becker, Paul-Georg
2 Bernstein, Daniel Julius
2 Bilu, Yuri F.
2 Bombieri, Enrico
2 Borwein, Peter Benjamin
2 Bousquet-Mélou, Mireille
2 Chamberland, Marc
2 Chen, Shaoshi
2 Cohn, John H. E.
2 Conant, Gabriel
2 Cooper, Shaun
...and 660 more Authors
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Cited in 182 Serials

104 Journal of Number Theory
28 Theoretical Computer Science
21 Journal de Théorie des Nombres de Bordeaux
18 Mathematics of Computation
14 Compositio Mathematica
14 Monatshefte für Mathematik
14 Proceedings of the American Mathematical Society
13 Rocky Mountain Journal of Mathematics
13 Transactions of the American Mathematical Society
12 International Journal of Number Theory
11 Israel Journal of Mathematics
10 Journal of Mathematical Analysis and Applications
10 Advances in Applied Mathematics
10 Indagationes Mathematicae. New Series
10 The Ramanujan Journal
10 Journal of the Australian Mathematical Society
9 Bulletin of the Australian Mathematical Society
9 Inventiones Mathematicae
9 Mathematische Annalen
8 Annales de l’Institut Fourier
8 Journal of Symbolic Computation
8 Linear Algebra and its Applications
7 The Mathematical Intelligencer
7 Bulletin de la Société Mathématique de France
7 Journal of Computational and Applied Mathematics
7 European Journal of Combinatorics
7 Integers
6 Discrete Mathematics
6 Acta Arithmetica
6 Duke Mathematical Journal
6 Journal of Difference Equations and Applications
5 Acta Mathematica Academiae Scientiarum Hungaricae
5 Discrete Applied Mathematics
5 Mathematical Notes
5 Acta Mathematica
5 Advances in Mathematics
5 Journal of Algebra
5 Journal of Approximation Theory
5 Manuscripta Mathematica
5 Results in Mathematics
5 Aequationes Mathematicae
5 Finite Fields and their Applications
4 Journal of Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Archiv der Mathematik
4 Functiones et Approximatio. Commentarii Mathematici
4 Journal of Differential Equations
4 Journal of Pure and Applied Algebra
4 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
4 Séminaire de Théorie des Nombres de Bordeaux. Deuxième Série
4 Experimental Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Information Processing Letters
3 Canadian Mathematical Bulletin
3 Mathematica Slovaca
3 Mathematische Zeitschrift
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Ergodic Theory and Dynamical Systems
3 Expositiones Mathematicae
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Mathematical Sciences (New York)
3 Qualitative Theory of Dynamical Systems
2 Journal d’Analyse Mathématique
2 Journal of Statistical Physics
2 Lithuanian Mathematical Journal
2 The Mathematical Gazette
2 Chaos, Solitons and Fractals
2 Glasgow Mathematical Journal
2 Journal of Combinatorial Theory. Series A
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Nagoya Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Tohoku Mathematical Journal. Second Series
2 Tokyo Journal of Mathematics
2 Acta Mathematica Hungarica
2 Journal of Complexity
2 Constructive Approximation
2 Revista Matemática Iberoamericana
2 Designs, Codes and Cryptography
2 Bulletin of the American Mathematical Society. New Series
2 Acta Mathematica Sinica. New Series
2 Integral Transforms and Special Functions
2 Sbornik: Mathematics
2 The Journal of Fourier Analysis and Applications
2 Documenta Mathematica
2 Acta Mathematica et Informatica Universitatis Ostraviensis
2 Theory of Computing Systems
2 Positivity
2 Revista Matemática Complutense
2 Journal of Integer Sequences
2 RAIRO. Theoretical Informatics and Applications
2 Foundations of Computational Mathematics
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Modern Dynamics
2 European Journal of Pure and Applied Mathematics
2 Science China. Mathematics
2 RAIRO. Theoretical Informatics and Applications
2 Research in Number Theory
1 American Mathematical Monthly
...and 82 more Serials
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Cited in 49 Fields

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

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