Edit Profile (opens in new tab) van der Poorten, Alfred J. (b. 1942 d. 2010) Co-Author Distance Author ID: 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. more...less Homepage: http://www.maths.mq.edu.au/~alf/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 178 Publications since 1967, including 3 Books and 2 Additional arXiv Preprints 5 Contributions as Editor Biographic References: 2 Publications Co-Authors: 73 Co-Authors with 108 Joint Publications 2,801 Co-Co-Authors 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 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 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 all top 5 Fields 164 Number theory (11-XX) 21 Functions of a complex variable (30-XX) 13 Computer science (68-XX) 10 Algebraic geometry (14-XX) 8 Approximations and expansions (41-XX) 7 General and overarching topics; collections (00-XX) 7 Difference and functional equations (39-XX) 6 Commutative algebra (13-XX) 5 Real functions (26-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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